Free Printable FAST Review PM2

1.

$\frac{4^{11}}{4^3}$

2.

$7^4\ \cdot\ 7^9$

3.

$\left(\frac{2^4}{5^3}\right)^5$

a)

$\frac{2^{20}}{5^{15}}$

b)

$\frac{2^9}{5^2}$

c)

$\frac{2^{20}}{5^5}$

d)

$\frac{2^9}{5^{15}}$

4.

Simplify

$\left(\frac{1}{2}\right)^3\cdot\left(\frac{1}{2}\right)^2\cdot\left(\frac{1}{2}\right)$

a)

$\left(\frac{1}{2}\right)^6$

b)

$\left(\frac{1}{2}\right)^5$

c)

$\left(\frac{1}{2}\right)$

5.

$5^3\cdot8^4\cdot8^3\cdot5^0\cdot5^4$

a)

$5^7\cdot8^7$

b)

$5^8\cdot8^3$

c)

$5^{ }\cdot8^7$

d)

$5^{7\ }\cdot8^{ }$

6.

Generate an equivalent numerical expression to $\frac{\left(-3\right)^8}{\left(-3\right)^6}$ .

Write your answer in standard form.

(a)

7.

$\left(5^3\cdot4^2\right)^4$

a)

$5^{12}\cdot4^8$

b)

$5^7\cdot4^6$

c)

$5^{12}\cdot4^2$

d)

$5^3\cdot4^8$

8.

What is the value of the expression $\frac{a}{b}+c$

if $a=\frac{1}{4}\ ,\ \ \ b=0.4\ ,\ \ c=2$

9.

Organize these options into the right categories

Categorize the following

$0.25$

$-5.47$

$\frac{2}{5}$

$0.\overline{3}$

$1.7777777....$

$-5.\overline{45}\ \$

$\frac{1}{9}$

Terminating Decimals

Repeating Decimals

10.

$\frac{5^7\cdot4^5}{5^2\cdot4^3}$

a)

$5^5\cdot4^2$

b)

$5^9\cdot4^8$

c)

$5^9\cdot4^2$

d)

$5^5\cdot4^8$

11.

What is the simplified form of this expression
3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

12.

$5d-7-d+4$

a)

$6d+11$

b)

$6d-3$

c)

$4d+11$

d)

$4d-3$

13.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

14.

What is (3x -2) - (4x + 1) in simplest form?

a)

x - 3

b)

-x - 3

c)

-x + 1

d)

x + 1

15.

Choose the equivalent expression.

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

16.

Simplify

$\frac{1}{3}(6x-3)+5(x+2)$

a)

7x + 9

b)

7x + 1

c)

7x + 7

17.

Solve. $-\ 7\ +\ \frac{x}{5}\ =14$

a)

4

b)

105

c)

35

d)

4.2

18.

Solve - 3x + 5 = - 16

a)

9

b)

8

c)

-7

d)

7

19.

Solve 9 + 3x = 10

a)

2/3

b)

1/3

c)

-1/3

d)

4

20.

Solve the equation for m. $-15=-4m+5$

(a)

21.

Solve for x: - 3 (x - 8) = 87

(a)

22.

Regina had her birthday party. It costs $34.50 for food plus $9.25 per person for game and ride tickets. If the total cost was $108.50, select the equation to find how many people attended the party (p)?

a)

34.50 – 9.25p = 108.50

b)

9.25 – 34.50p = 108.50

c)

34.50 + 9.25p = 108.50

d)

9.25 + 34.50p = 108.50

23.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

24.

When solving inequalities you follow all the same steps as solving an equation BUT , if you multiply or divide by a _________ number you must also change the direction of the inequality sign.

REMEMBER THE BIG BUT!

a)

Negative

b)

Positive

25.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

26.

$0.75\ +\ x\ >\ -1$

a)

$x\ <\ 0.25$

b)

$x\ <\ -1.75$

c)

$x\ >\ 0.25$

d)

$x\ >\ -1.75$

27.

$\frac{n}{-5\ }\ <\ -8$

a)

$n\ <-40$

b)

$n\ >40$

c)

$n\ >35$

d)

$n\ >35$

28.

$-12y\ \le36$

a)

$y\ <3$

b)

$y\ \ge-3$

c)

$y\ >-3$

d)

$y\ \le-3$

29.

Jeff’s piano teacher wants him to practice at least 8 hours every week. Jeff has already practiced 2.5 hours. Which inequality represents the amount of hours Jeff needs to work this week.

a)

$2.5\ +\ h\ \ge8$

b)

$2.5\ -h\ \ge\ 8$

c)

$2.5\ +h\ \le8$

d)

$2.5-h\ \le8$

30.

Jordan makes jump ropes with weighted handles to sell at fitness conventions. Each medium length jump rope requires 3 feet of rope. If she has more than 160 feet of rope to make the jump ropes, which inequality will help determine how many medium length jump ropes can she make?

a)

$3\ +j\ >160$

b)

$3j\ >160$

c)

$3\ +j\ <160$

d)

$3j\ <160$

31.

Match each statement with the correct graph.

a)

1.

y < 6

b)

2.

y > 6

c)

3.

y ≤ 6

d)

4.

y ≥ 6

FAST Review PM2 - M2A

Total questions: 31

Worksheet time: 2hrs 39mins

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