Free Printable Test Unit 6 Review

1.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

2.

Identify the coefficient of the algebraic expression:

m - 6

a)

1

b)

m

c)

-6

d)

6

3.

Identify the constant of the algebraic expression:

-r + 2

a)

r

b)

-r

c)

2

d)

-1

4.

Which type of math problem has an equal sign?

a)

equation

b)

expression

c)

inequality

d)

term

5.

Simplify:
5(3x+1)

a)

15x+1

b)

15x+5

c)

8x+1

d)

8x+6

6.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

7.

Solve for d:
-7(6 + d) = 49

a)

13

b)

1

c)

-1

d)

-13

8.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

9.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

10.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

11.

12-4x-x=2

a)

2

b)

-2

c)

5

d)

-5

12.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

13.

Solve. -3x - 12 = 15

a)

9

b)

-1

c)

27

d)

-9

14.

Solve -5t + 9 = 24

a)

-3

b)

3

c)

12

15.

Solve

a)

5

b)

-6

c)

6

d)

21

16.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

17.

Match:

You must be at least 48 inches tall (greater than or equal to 48 inches) to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

18.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

19.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

20.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

21.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

22.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

23.

Solve:
5 - 3x < -4

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

24.

The keywords "at most" are used with which symbol?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

25.

The keywords "at least" are used with which symbol?

a)

$<$

b)

$>$

c)

$\le$

d)

$\ge$

26.

$-3x\ge18$

a)

$x\ge6$

b)

$x\ge-6$

c)

$x\le6$

d)

$x\le-6$

27.

When graphing an inequality, you use an open dot when you use which symbol?

a)

$<\ or\ >$

b)

$\le\ or\ \ge$

28.

$-12y-11<49$

a)

$y<-5$

b)

$y>-5$

c)

$y>5$

d)

$y<5$

29.

The speed limit on some Georgia Interstates is 70 miles per hour. If a driver travels faster than 70 miles per hour, he or she receives a ticket. Use the inequality s > 70, where s represents the speed of cars on the interstate to determine which cars get a ticket.

a)

Car # 1 = Speed 68

b)

Car # 2 = Speed 76

c)

Car # 3 = Speed 72

d)

Car # 4 = Speed 65

30.

The number of people who attended each theater show at the local arts club is shown in the table. If less than 175 people attend, then the arts club did not make enough to cover costs. Use the inequality p < 175, where p represents the number of people present, to determine for which show they did not make enough money.

a)

Romeo and Juliet - 176 people

b)

Hamlet - 164 people

c)

Macbeth - 208 people

31.

Carrie gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.

a)

10a + 5 ≥ 77

b)

5a + 10 ≥ 77

c)

5a + 10 > 77

d)

5a + 10 ≤ 77

32.

Makayla began with $45 in her account. She saved $15 every week, She now has more than $205.

a)

15w + 45 < 205

b)

15w + 45 > 205

c)

45a + 15 < 205

d)

45a + 15 > 205

33.

Joshua earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left.

a)

12h + 35 < 25

b)

12h - 35 < 25

c)

12h - 35 ≤ 25

d)

12h + 35 ≤ 25

34.

James used a $25 giftcard and bought a bunch of toys that cost $2 each for his little brothers. He still has over $10 left on the gift card

a)

25 - 2t < 10

b)

25 - 2t > 10

c)

25 + 2t > 10

d)

25 g - 2 > 10

35.

4x - 10 ≤ 22

a)

x ≤ 8

b)

x ≥ 8

c)

x ≤ 3

d)

x ≥ 3

36.

Solve and then match the correct solution & graph.

a)

A

b)

B

c)

C

d)

D

37.

A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

a)

$3.40

b)

$2.50

c)

2.5 hours

d)

3.4 hours

38.

Olivia is going to the mall where she will buy a coffee for $3.00 and soaps for $4.00 each. How many bars of soap can she buy if she will spend no more than $30.00?

a)

6.75 bars

b)

6 bars

c)

7 bars

d)

5 bars

39.

A botanist transplanted a new species of flower into experimental soil. He wanted to plant it in a different container when it was at least 3 inches tall. If the plant is growing at a rate of 0.6 inches per week, how many weeks until the flower can be transplanted?

a)

1.8 weeks

b)

2.4 weeks

c)

3.6 weeks

d)

5 weeks

40.

7a(3b - 2c + 4)

a)

10ab + 5ac + 11a

b)

10ab + 5ac + 28a

c)

21ab + 14ac + 28a

d)

21ab - 14ac + 28a

41.

-7(w - 4) + 3w - 27

a)

4w + 15

b)

-4w + 1

42.

6(x + 1) - 5(x + 2)

a)

2x + 8

b)

x - 4

43.

Which one of the following illustrates the Associative Property of Addition?

a)

3 + ( 2 + 4) = (4 + 4) + 1

b)

3 + (2 + 4) = (3 + 2) + 4

c)

3 + (2 + 4) = (5 + 2) + 2

d)

3 + (2 + 4) = (2 + 6) + 1

44.

What is the first step to solve this equation:

11-3x=44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

45.

Solve:

6n+4=-26

a)

$n=-6$

b)

$n=-5$

c)

$n=8$

d)

$n=-4$

46.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

47.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

48.

Which solution
IS NOT valid for this inequality?
17 ≥ w

a)

w = 17

b)

w = 14

c)

w = 0

d)

w = 18

49.

-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3

d)

y > 3

50.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Test Unit 6 Review

Total questions: 50

Worksheet time: 1hrs 20mins

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