Free Printable Algebra 1 7th Grade Review

1.

The solution for the variable in the equation 8v - 4(v + 8) = 8 is 10.

a)

True

b)

False

2.

Solve for the variable in the equation:

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

3.

Solve for the variable k in the following equation:

7k − 1 − 6k = −6

a)

k = -2

b)

k = -3

c)

k = -4

d)

k = -5

4.

Solve for x in the equation:

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

5.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

6.

Solve for d

C = πd

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

$\frac{C}{\pi}=d$

7.

Solve for h

V = lwh

a)

$V\ -l-w\ =\ h$

b)

$V-lw\ =\ h$

c)

$\frac{V}{lw}=\ h$

d)

$V-\frac{l}{w}=h$

8.

Solve for x: $m\ =\frac{x+y}{2}$

a)

$\ 2m-y=x$

b)

$\frac{2m}{y}=x$

c)

$\frac{m-y}{2}=x$

d)

$2\left(m-y\right)=x$

9.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

10.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

11.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

12.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

13.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

14.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{-3, 6, 11, 21}

c)

-8 < x < 9

d)

-3 < y < 21

15.

What is the Domain of the situation?

a)

$0\le x\ \le9$

b)

$0<x<9$

c)

$0<x<28$

d)

$0\le x\le28$

16.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

17.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

18.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

19.

What is the domain?

a)

{-2, -1, 0, 1, 8}

b)

{3, 5, 7 , 9, 0}

c)

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

d)

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

20.

What is the domain?

a)

all real numbers

b)

1<x<6

c)

{1,3,4,6}

d)

{-2,2,5}

21.

What is the range?

a)

{-2,2,5}

b)

{1,3,5,6}

c)

all real numbers

d)

-2<y<5

22.

What is the Range of the situation?

a)

$0\le y\ \le9$

b)

$0<x<9$

c)

$0<x<28$

d)

$0\le y\le28$

23.

f(x) = −2x − 12

f(−5) = ?

a)

−22

b)

−2

c)

−19

d)

−5

24.

Consider the function: f(x) = x + 3

For which value of x does f(x) = −5?

(Hint: Find which x can be substituted into the function that gives an answer of -5.)

a)

−2

b)

−1

c)

−8

d)

7

25.

Consider the function: f(x) = 2x + 2

For which value of x does f(x) = 2?

(Hint: Determine which value can be substituted in for x to get a solution of 2.)

a)

6

b)

−8

c)

10

d)

0

26.

f(x) = −2x + 13

f(10) = ?

a)

−7

b)

1

c)

−8

d)

7

27.

g(x) = 5 − 6x

g(−5) = ?

(a)

28.

f(x) = 4x + 5

f(4) = ?

(a)

29.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

30.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

31.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

32.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

33.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

34.

a)

m = 1/2

b)

m = 1/3

c)

m = 2

d)

m = (0, 1)

35.

a)

m = 5/0

b)

m = -2/3

c)

m = 2/3

d)

m = 3/2

36.

Write the equation in slope-intercept form (solve for y):
2y = 10x + 14

a)

y = 10x + 12

b)

y = 10x + 7

c)

y = 5x + 14

d)

y = 5x + 7

37.

Write the equation in slope-intercept form (solve for y):

y + 4 = 8x

a)

y = 2x

b)

y = 8x - 4

c)

y = 2x

d)

y = 8x + 4

38.

What is the slope of the line through the points (2, 4) and (2, -11)?

a)

m = 0

b)

m = -15/0

c)

m = 13/2

d)

m is undefined

39.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

40.

What is the slope?

a)

2

b)

1/2

c)

1

d)

1.5

41.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

42.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

43.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

44.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

45.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

46.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

47.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

48.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

49.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

50.

What is the slope of a line parallel to y = -2/6x + 10

a)

2/6

b)

-1/3

c)

6/2

d)

-3

51.

What is a scatter plot?

a)

A graph that shows the relationship of two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

52.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

53.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

54.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

55.

Which best describes the form of this scatterplot?

a)

linear

b)

nonlinear

c)

scattered

56.

What is the type of correlation?

a)

Negative

b)

no correlation

c)

positive

57.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

58.

The value of y varies directly with x. Which function represents the relationship between x and y if y = 14 when x = 6.

a)

y=20x

b)

y=84x

c)

y=7/3x

d)

y=3/7x

59.

If x and y vary directly, what is the missing value in the points (x, 4) and (-14, -8)?

a)

x = -7

b)

x = -2.3

c)

x = 2.3

d)

x = 7

60.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

61.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

62.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

63.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

64.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

65.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

66.

4x + 8y = 20
-4x + 2y = -30
Which variable will be eliminated?

a)

The x

b)

The y

c)

The z

d)

The unknown

67.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

a)

S + A = 530

3S + 4A = 1740

b)

S + A = 530

4S + 3A = 1740

c)

S + A = 1740

3S + 4A = 530

d)

S + A = 1740

4S + 3A = 530

68.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. Player one rushed for 4 times as many yards as player two. How many yards did each player rush for?

a)

Player one 1240 yards, Player two 310

b)

Player one 310 yards, Player two 1240

c)

Player one 1000 yards, Player two 550

d)

Player one 550 yards, Player two 1000

69.

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

70.

Which inequality is graphed on the given coordinate plane?

a)

y > x + 1

b)

y < x + 1

c)

y ≥ -x + 1

d)

y ≤ -x + 1

71.

Which ordered pair(s) is a solution to the given system?

a)

(5, -5)

b)

(0,0)

c)

(-5, -2)

d)

(3,-3)

72.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

73.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1

y>-2x+3

b)

y>2x-1

y≤-2x+3

c)

y<2x-1

y≥-2x+3

d)

y≤2x-1

y>2x+3

74.

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

a)

30x + 600 > 1,500

b)

30x + 600 ≥ 1,500

c)

30x + 600 < 1,500

d)

30x + 600 < 1,500

75.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

a)

x + y ≥ 6

32x + 20y ≤ 150

b)

x + y ≥ 632

x + 20y ≥ 150

c)

x + y ≤ 6

32x + 20y ≤ 150

d)

x + y ≤ 6

32x + 20y ≥ 150

76.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

a)

2x + 3y > 100

x + y ≤ 40

b)

100x + 2y > 3

x + y ≤ 40

c)

100x + 40y > 100

3x + 2y ≤ 40

d)

3x + 2y > 100

x + y ≤ 40

77.

What does absolute value mean?

a)

Everything is positive

b)

Everything is negative

c)

Distance away from zero

78.

Solve

$\left|x+5\right|=8$

a)

x=6

b)

x=3

c)

x=6 or x=2

d)

x=3 or x=-13

79.

Solve

$\left|x+7\right|=9$

a)

x=2 or x= -16

b)

x=-16

c)

x=16

d)

x=2

80.

Solve

$\left|x-4\right|=5$

a)

x= -4 or x=4

b)

x=-1 or x = 9

c)

x= 6 or x= -6

d)

x=-4 or x=5

81.

Solve

$\left|\frac{x}{10}\right|=2$

a)

x= 12

b)

x=0 or x=12

c)

x= -20 or x=20

d)

x= -8

82.

Solve

\left|2x+4\right|=8

a)

x= 10 or x=-9

b)

x=2 or x= -6

c)

x= -4 or x=6

d)

x= -2

83.

Solve the absolute value inequality:

$\left|x+7\right|>10$

a)

-17 < x < 3

b)

x < -17 or x > 3

c)

x > 3

d)

x < -17

84.

Solve the absolute value inequality:

$\left|x+2\right|\ge3$

a)

$x\le-5\ \ or\ \ \ x\ge1$

b)

$x\le-5$

c)

$x>1$

d)

$-5<x<1$

85.

Solve the absolute value inequality:

$\left|x+2\right|>1$

a)

$x\le-1\ \ or\ \ \ x\ge-3$

b)

$x\le-5$

c)

$x<-3\ \ or\ \ \ x>-1$

d)

$-5<x<1$

86.

Solve the absolute value inequality:

$\left|x-7\right|<6$

a)

$-10<x<-4$

b)

$-12<x<-2$

c)

$1\le x\le13$

d)

$1<x<13$

87.

Solve the absolute value inequality:

$\left|x+1\right|<1$

a)

$0<x<2$

b)

$-2<x<0$

c)

$-2\le x\le0$

88.

Solve the absolute value inequality:

$\left|2x-5\right|\le23$

a)

$9<x\le-14$

b)

$-14<x<-9$

c)

$-9\le x\le14$

89.

Select the graph for the following inequality

$1\le x\le9$

a)

b)

90.

Select the graph for the following inequality

$x<-6\ \ \ or\ \ \ x>2$

a)

b)

Algebra 1 7th Grade Review

Total questions: 90

Worksheet time: 22hrs 1mins

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