Name: 
 

Algebra 1 Review 1


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Lionel observes that traffic is getting worse and it’s taking him longer to get to work. He records once a week the following data for several weeks. Graph a scatter plot using the given data.

Week
1
2
3
4
5
6
7
8
Time (min)
8.2
8.9
8.6
8.3
9
9.7
8.4
10.1
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 

 2. 
Thomas is a car salesman. He is paid a salary of $1600 per month plus $300 for each car that he sells. His salary can be modeled by the equation mc002-1.jpg where x is the number of cars sold. Graph this equation and give its domain and range.
a.
mc002-9.jpg
D: {$300, $1900, $3500, $5100, ...}
R: {0, 1, 2, 3, ...}
b.
mc002-10.jpg
D: {$1600, $1900, $2200, $2500, ...}
R: {0, 1, 2, 3,...}
c.
mc002-11.jpg
D: {0, 1, 2, 3, ...}
R: {$300, $1900, $3500, 5100, ...}
d.
mc002-12.jpg
D: {0, 1, 2, 3, ...}
R: {$1600, $1900, $2200, $2500, ...}
 

 3. 
Salvador’s class has collected 88 cans in a food drive. They plan to sort the cans into x bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.
a.
88 – x
c.
mc003-2.jpg
b.
88 + x
d.
88x
 

 4. 
Complete the table shown. Then, determine whether the table shows a linear relationship.

x
5.75 + (x + x + x) mc004-1.jpg 4
3
?
7
11
11
14
?
17
?
20
a.

mc004-3.jpg
The table shows a linear function.
b.

mc004-4.jpg
The table does not show a linear function.
c.

mc004-5.jpg
The table shows a linear function.
d.

mc004-6.jpg
The table does not show a linear function.
 

 5. 
A toy company's total payment for salaries for the first two months of 2005 is $21,894. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.
a.
mc005-4.jpg
The salaries for the second month are $21,894.
b.
mc005-5.jpg
The salaries for the second month are $32,099.
c.
mc005-6.jpg
The salaries for the second month are $10,947.
d.
mc005-7.jpg
The salaries for the second month are $11,689.
 

 6. 
Give the domain and range of the relation. Tell whether the relation is a function.
x
y
0
–5
1
–1
1
3
1
6
a.
D: {–5, –1, 3, 6}; R: {0, 1}
The relation is not a function.
c.
D: {–5, –1, 3, 6}; R: {0, 1}
The relation is a function.
b.
D: {0, 1}; R: {–5, –1, 3, 6}
The relation is a function.
d.
D: {0, 1}; R: {–5, –1, 3, 6}
The relation is not a function.
 

 7. 
Solve mc007-1.jpg.
a.
n = mc007-6.jpg
c.
n = mc007-8.jpg
b.
n = mc007-7.jpg
d.
n = mc007-9.jpg
 

 8. 
Tell whether the relation is a direct variation. Explain.

x
–10
–9
1
y
20
18
–2
a.
This is a direct variation, because it can be written as mc008-8.jpg, where k = –2.
b.
This is not a direct variation, because it cannot be written in the form mc008-9.jpg.
c.
This is a direct variation, because it can be written as mc008-10.jpg, where mc008-11.jpg.
d.
This is a direct variation, because it can be written as mc008-12.jpg, where k = mc008-13.jpg.
 

 9. 
Write the equation that describes the line in slope-intercept form.
slope = 4, point (3, –2) is on the line
a.
y = 4x – 14
c.
y = 4x + 14
b.
y = 4x – 2
d.
y = 4x + 10
 

 10. 
Find the x- and y-intercepts of mc010-1.jpg.
a.
x-intercept: –8, y-intercept: 4
c.
x-intercept: mc010-6.jpg, y-intercept: 4
b.
x-intercept: mc010-4.jpg, y-intercept: mc010-5.jpg
d.
x-intercept: –8, y-intercept: mc010-7.jpg
 

 11. 
Graph the line with a slope of mc011-1.jpg that contains the point (3, –7).
a.
mc011-3.jpg
c.
mc011-5.jpg
b.
mc011-4.jpg
d.
mc011-6.jpg
 

 12. 
Express the relation for the math test scoring system {(1, 2), (2, 3), (3, 5), (4, 10), (5, 5)} as a table and as a graph.
a.
Cannot determine. The set of ordered pairs is not a relation, because the elements 3 and 5 in the domain are both paired with the element 5 in the range.
b.

mc012-1.jpg     mc012-2.jpg
c.

mc012-3.jpg     mc012-4.jpg
d.

mc012-5.jpg     mc012-6.jpg
 

 13. 
The formula mc013-1.jpg gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted. If mc013-2.jpg, mc013-3.jpg, and mc013-4.jpg, what is the value of c?
a.
1.55
c.
1.25
b.
0.80
d.
0.95
 

 14. 
Kristi rides her bike to school and has an odometer that measures the distance traveled. She subtracts this distance from the distance to the school and records the distance that remains between her and the school. Find the intercepts. What do the intercepts represent?

Time traveled (min)
Distance remaining (ft)
0
5,000
2
3,750
4
2,500
6
1,250
8
0
a.
x-intercept = 5000; y-intercept = 8
The x-intercept represents the distance remaining when Kristi began her bike ride. The y-intercept represents the time traveled when Kristi arrived at school.
b.
x-intercept = 8; y-intercept = 5000
The x-intercept represents the time traveled when Kristi arrived at school. The y-intercept represents the distance remaining when Kristi began her bike ride.
c.
x-intercept = 5000; y-intercept = 8
The x-intercept represents the time traveled when Kristi began her bike ride. The y-intercept represents the distance remaining when Kristi arrived at school.
d.
x-intercept = 8; y-intercept = 5000
The x-intercept represents the time traveled when Kristi began her bike ride. The y-intercept represents the distance remaining when Kristi arrived at school.
 

 15. 
Salvador reads 12 books from the library each month for n months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.
a.
mc015-1.jpg; 84 books
c.
12 – n; 19 books
b.
12n; 84 books
d.
12 + n; 19 books
 

 16. 
Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino Discovery Museum simply charges $6 per student. For how many students will the Science Center charge less than the Dino Discovery Museum?
a.
Fewer than 45 students
c.
More than 45 students
b.
132 or fewer students
d.
132 or more students
 

 17. 
Solve –14 + s = 32.
a.
s = –46
c.
s = –18
b.
s = 18
d.
s = 46
 

 18. 
Write an equation in slope-intercept form for the line parallel to y = mc018-1.jpgx – 2 that passes through the point (8, –2).
a.
y = mc018-9.jpgx – mc018-10.jpg
c.
y = mc018-13.jpgx – 2
b.
y = mc018-11.jpgx + mc018-12.jpg
d.
y = mc018-14.jpgx – mc018-15.jpg
 

 19. 
Which graph represents a function?
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 
Describe the correlation illustrated by the scatter plot.

mc020-1.jpg
a.
negative correlation
c.
no correlation
b.
positive correlation
d.
cannot determine
 

 21. 
Tell whether the equation mc021-1.jpg represents a direct variation. If so, identify the constant of variation.
a.
Not a direct variation.
c.
Direct variation; k = mc021-6.jpg
b.
Direct variation, k = mc021-5.jpg
d.
Direct variation, k = –2
 

 22. 
Find the slope of the line.

mc022-1.jpg
a.
0
c.
10
b.
mc022-3.jpg
d.
undefined
 

 23. 
Give the domain and range of the relation.
x
y
4
9
6
13
0
0
–5
–9
a.
D: {–5, 4, 6}; R: {–9, 9, 13}
c.
D: {4, 6, –5, 9, 13, –9}; R: {0}
b.
D: {–5, 0, 4, 6}; R: {–9, 0, 9, 13}
d.
D: {–9, 0, 9, 13}; R: {–5, 0, 4, 6}
 

 24. 
Use intercepts to graph the line described by the equation mc024-1.jpg.
a.
x-intercept: 2, y-intercept: 3
mc024-2.jpg
c.
x-intercept: mc024-5.jpg, y-intercept: mc024-6.jpg
mc024-7.jpg
b.
x-intercept: mc024-3.jpg, y-intercept: 3
mc024-4.jpg
d.
x-intercept: 2, y-intercept: mc024-8.jpg
mc024-9.jpg
 

 25. 
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write an expression to determine the number of points he scored in all Then, find the number of points he scored in all if he scored 11 points in the second half of the game.
a.
24p; 35 points
c.
24 + p; 35 points
b.
24 – p; 13 points
d.
mc025-1.jpg; 13 points
 

 26. 
Write the equation mc026-1.jpg in slope-intercept form. Then graph the line described by the equation.
a.
mc026-7.jpgmc026-8.jpg
c.
mc026-11.jpg
mc026-12.jpg
b.
mc026-9.jpgmc026-10.jpg
d.
mc026-13.jpgmc026-14.jpg
 

 27. 
Solve the inequality mc027-1.jpg.
a.
{all real numbers}
c.
z £ mc027-3.jpg
b.
z £ mc027-2.jpg
d.
no solutions
 

 28. 
Choose the scatter plot that best represents the relationship between the number of students who passed the final exam and the number of students who failed the class. Explain your answer.
a.
mc028-1.jpg
This scatter plot shows a positive correlation between the number of students who passed the final exam and the number of students who failed the class.
b.
mc028-2.jpg
This scatter plot shows no correlation between the number of students who passed the final exam and the number of students who failed the class.
c.
mc028-3.jpg
This scatter plot shows no correlation between the number of students who passed the final exam and the number of students who failed the class.
d.
mc028-4.jpg
This scatter plot shows a negative correlation between the number of students who passed the final exam and the number of students who failed the class.
 

 29. 
Solve mc029-1.jpg.
a.
mc029-9.jpg
c.
mc029-11.jpg
b.
mc029-10.jpg
d.
mc029-12.jpg
 

 30. 
Tell whether the function mc030-1.jpg is linear. If so, graph the function.
a.
mc030-16.jpg
c.
mc030-17.jpg
b.
Not a linear function.
d.
mc030-18.jpg
 

 31. 
Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.

mc031-1.jpg
a.
The slope is mc031-5.jpg. The slope means that the amount of money in the account is decreasing at a rate of $50 every 2 weeks.
b.
The slope is mc031-6.jpg. The slope means that the amount of money in the account is decreasing at a rate of $50 every week.
c.
The slope is mc031-7.jpg. The slope means that the amount of money in the account is decreasing at a rate of $0.02 every week.
d.
The slope is 50. The slope means that the amount of money in the account is increasing at a rate of $50 every week.
 

 32. 
Tell whether the slope of the line is positive, negative, zero, or undefined.

mc032-1.jpg
a.
zero
c.
positive
b.
negative
d.
undefined
 

 33. 
Give the domain and range of the relation.
mc033-1.jpg
a.
D: 1 £ x £ 6; R: 1 £ y £ 7
c.
D: 0 £ x £ 7; R: 1 £ y £ 7
b.
D: 2 £ x £ 6; R: 4 £ y £ 7
d.
D: 1 £ x £ 7; R: 1 £ y £ 6
 

 34. 
Graph a scatter plot using the given data.

x
3
6
5
2
7
4
8
1
y
4.5
6.5
6.5
3.5
6.5
4.5
8
4
a.
mc034-1.jpg
c.
mc034-3.jpg
b.
mc034-2.jpg
d.
mc034-4.jpg
 

 35. 
Solve mc035-1.jpg.
a.
p = –22
c.
p = 10
b.
p = 22
d.
p = –10
 

 36. 
Find the slope of the line that contains mc036-1.jpg and mc036-2.jpg.
a.
mc036-11.jpg
c.
mc036-13.jpg
b.
mc036-12.jpg
d.
mc036-14.jpg
 

 37. 
Give the domain and range of the relation.
x
y
5
11
6
13
0
0
–8
–15
a.
D: {–15, 11, 13}; R: {–8, 5, 6}
b.
D: {–15, 0, 11, 13}; R: {–8, 0, 5, 6}
c.
D: {0}; R: {5, 6, –8, 11, 13, –15}
d.
D: {–8, 0, 5, 6}; R: {–15, 0, 11, 13}
 

 38. 
The graph shows a linear relationship. Find the slope.

mc038-1.jpg
a.
mc038-10.jpg
c.
mc038-12.jpg
b.
mc038-11.jpg
d.
mc038-13.jpg
 

 39. 
Write an equation in slope-intercept form for the line that passes through (3, 7) and (7, 4).
a.
y = mc039-3.jpgx + mc039-4.jpg
c.
y = mc039-7.jpgx + mc039-8.jpg
b.
y = mc039-5.jpgx + mc039-6.jpg
d.
y = mc039-9.jpgx + mc039-10.jpg
 

 40. 
Julia wrote 14 letters to friends each month for y months in a row. Write an expression to show how many total letters Julia wrote.
a.
14 – y
c.
14y
b.
mc040-1.jpg
d.
14 + y
 

 41. 
Give the domain and range of the relation.
mc041-1.jpg
a.
D: –2 £ x £ 4; R: –3 £ y £ 2
c.
D: –3 £ x £ 2; R: –3 £ y £ 6
b.
D: –3 £ x £ 2; R: 0 £ y £ 4
d.
D: –3 £ x £ 2; R: –2 £ y £ 4
 

 42. 
Marco’s Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $2.50 each and he has $14.75 to spend, how many tickets can he buy?
a.
6 tickets
c.
0 tickets
b.
5 tickets
d.
4 tickets
 

 43. 
Which situation best describes a positive correlation?
a.
The amount of gasoline in a car and how far the car has traveled
b.
The temperature on Tuesdays
c.
The size of a sundae and the amount of calories it contains
d.
The size of a snowball and how long it has been melting
 

 44. 
The equations of four lines are given. Identify which lines are parallel.
Line 1:y = mc044-1.jpgx + 6
Line 2:x + mc044-2.jpgy = –6
Line 3:y = mc044-3.jpgx – 8
Line 4:y + 7 = mc044-4.jpg(x + 4)
a.
Lines 1 and 4 are parallel.
c.
All four lines are parallel.
b.
Lines 1 and 2 are parallel.
d.
Lines 2 and 3 are parallel.
 

 45. 
Find the slope of the line.
mc045-1.jpg
a.
mc045-2.jpg
c.
mc045-4.jpg
b.
mc045-3.jpg
d.
mc045-5.jpg
 

 46. 
Identify the lines that are perpendicular:
mc046-1.jpg; mc046-2.jpg; mc046-3.jpg; mc046-4.jpg
a.
mc046-14.jpg and mc046-15.jpg are perpendicular.
b.
None of the lines are perpendicular.
c.
mc046-16.jpg and mc046-17.jpg are perpendicular; mc046-18.jpg and mc046-19.jpg are perpendicular.
d.
mc046-20.jpg and mc046-21.jpg are perpendicular.
 

 47. 
Write an equation in point-slope form for the line that has a slope of mc047-1.jpg and contains the point (–8, –7).
a.
y – 7 = mc047-4.jpg(x – 8)
c.
x – 8 = mc047-6.jpg(y – 7)
b.
y + 7 = mc047-5.jpg(x + 8)
d.
y + 8 = mc047-7.jpg(x + 7)
 

 48. 
Solve mc048-1.jpg for x.
a.
mc048-3.jpg
c.
mc048-5.jpg
b.
mc048-4.jpg
d.
mc048-6.jpg
 

 49. 
Tell whether the set of ordered pairs mc049-1.jpg satisfies a linear function. Explain.
a.
Yes; there is a constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
c.
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
No; there is no constant change in x that corresponds to a constant change in y.
 

 50. 
Find the x- and y-intercepts.

mc050-1.jpg
a.
x-intercept: 10, y-intercept: 5
c.
x-intercept: 5, y-intercept: 10
b.
x-intercept: –10, y-intercept: 5
d.
x-intercept: 10, y-intercept: –5
 



 
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