Free Printable Chapter 3 Retention Review

1.

Which of the following is the correct setup of the box for the expression:

$\left(x+2\right)\left(x+3\right)=$ ?

a)

b)

c)

d)

2.

Write the area as a SUM:

$(3x+2)(2x+4)$

a)

$6x^2+16x+8$

b)

$5x^2+11x+6$

c)

$5x^2+16x+6$

d)

$6x^2+11x+8$

3.

Write the area as a SUM:

$(x-9)(x-7)$

a)

$x^2-2x-63$

b)

$x^2-16x-63$

c)

$x^2-2x+63$

d)

$x^2-16x+63$

4.

Write the are as a SUM:

$(x+5)(x-4)$

a)

$x^2+9x+20$

b)

$x^2+9x-20$

c)

$x^2+1x-20$

d)

$x^2-1x-20$

5.

Which of the following could be the correct set up for the Box Method when multiplying (x + 3) (2x - 4) _?

a)

A

b)

B

c)

C

d)

D

6.

Write the area as a PRODUCT.

a)

$\left(x-3\right)\left(x+2\right)$

b)

$\left(x-2\right)\left(x+3\right)$

c)

$\left(x+3\right)\left(x+2\right)$

d)

$\left(x^2-3x\right)\left(x^2+2x\right)$

7.

Write the area as a PRODUCT

a)

$\left(x^2-4\right)\left(x^2-5\right)$

b)

$\left(x+4\right)\left(x+5\right)$

c)

$\left(x-4\right)\left(x-5\right)$

d)

$\left(x^2-4x\right)\left(x^2-5x\right)$

8.

Write the area as a PRODUCT

a)

$\left(x^2+9\right)\left(x^2+4\right)$

b)

$\left(x+4\right)\left(x+9\right)$

c)

$\left(x-4\right)\left(x-9\right)$

d)

$\left(x^2+9x\right)\left(x^2+4x\right)$

9.

Write the area as a PRODUCT

a)

$\left(x^2+8\right)\left(x^2-6\right)$

b)

$\left(x+8\right)\left(x-6\right)$

c)

$\left(x-8\right)\left(x+6\right)$

d)

$\left(x^2+8x\right)\left(x^2-6x\right)$

10.

Write the area as a PRODUCT

a)

$\left(3x+5\right)\left(3x+12\right)$

b)

$\left(3x+5\right)\left(3x+4\right)$

c)

$\left(3x+5\right)\left(x+12\right)$

d)

$\left(3x+5\right)\left(x+4\right)$

11.

Write the area as a PRODUCT

a)

$\left(2x-7\right)\left(2x-3\right)$

b)

$\left(2x-7\right)\left(x-6\right)$

c)

$\left(2x-7\right)\left(2x-6\right)$

d)

$\left(2x-7\right)\left(x-3\right)$

12.

Write the area as a PRODUCT

a)

$\left(5x+3\right)\left(x-2\right)$

b)

$\left(5x+3\right)\left(5x-10\right)$

c)

$\left(5x+3\right)\left(x-10\right)$

d)

$\left(5x+3\right)\left(5x-2\right)$

13.

Write the area as a PRODUCT

a)

$\left(2x-9\right)\left(x+2\right)$

b)

$\left(2x-9\right)\left(2x+1\right)$

c)

$\left(2x-9\right)\left(x+1\right)$

d)

$\left(2x-9\right)\left(2x+2\right)$

14.

Write the area as a PRODUCT

a)

$\left(4x+10\right)\left(4x+6\right)$

b)

$\left(2x+10\right)\left(2x+6\right)$

c)

$\left(2x+5\right)\left(2x+3\right)$

d)

$\left(2x+5\right)\left(x+3\right)$

15.

Write the area as a PRODUCT

a)

$\left(3x-4\right)\left(x-3\right)$

b)

$\left(6x-8\right)\left(x-9\right)$

c)

$\left(3x-4\right)\left(2x-9\right)$

d)

$\left(3x-4\right)\left(2x-3\right)$

16.

Write the area as a PRODUCT

a)

$\left(8x+10\right)\left(x-20\right)$

b)

$\left(4x+5\right)\left(2x-5\right)$

c)

$\left(4x+5\right)\left(x-5\right)$

d)

$\left(4x+5\right)\left(4x-5\right)$

17.

Write the area as a PRODUCT

a)

$\left(6x-12\right)\left(x+5\right)$

b)

$\left(2x-4\right)\left(3x+5\right)$

c)

$\left(x-2\right)\left(6x+5\right)$

d)

$\left(3x-2\right)\left(3x+5\right)$

18.

Would you rather be lost on an island or on a mountain?

a)

Island

b)

Mountain

19.

Would you rather get bit by a shark or an aligator?

a)

Shark

b)

Alligator

20.

Would you rather only be able to eat cold foods or only hot foods?

a)

Hot foods

b)

Cold foods

21.

Would you rather become a wizard a or mermaid?

a)

Wizard

b)

Mermaid

22.

Would you rather have an extra finger or toe?

a)

Finger

b)

Toe

23.

Would you rather win the lottery or live twice as long?

a)

Win lottery

b)

Twice as long

24.

Would you rather have one wish granted today or three wishes granted ten years from now?

a)

One, now

b)

Three, ten years from now

25.

Would you rather to have to sing instead of speaking or dance whenever walking?

a)

Sing when speaking

b)

Dance when walking

26.

Would you rather change the past or control the future?

a)

Change the past

b)

Control the future

27.

$-6x-6(-3x+3)=114$

a)

x = 9

b)

x = 11

c)

x = 14

d)

x = 5

28.

$128=-3x+5(-2x+10)$

a)

x = -6

b)

x = 4

c)

x = 3

d)

x = -5

29.

$-72=2x+3(x-9)$

a)

x = -10

b)

x = 10

c)

x = 9

d)

x = -9

30.

$24=6x-6(3x+12)$

a)

x = -8

b)

x = 10

c)

x = 7

d)

x = -9

31.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

32.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

33.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

34.

$\left(3x^4\right)^5$

a)

$15x^9$

b)

$243x^{20}$

c)

$15x^{20}$

d)

$243x^9$

35.

$-2x^3y^2\cdot5xy^4$

a)

$3x^3y^8$

b)

$3x^4y^6$

c)

$-10x^3y^8$

d)

$-10x^4y^6$

36.

Simplify using the 9 Laws of Exponents:

a)

b)

c)

d)

37.

Simplify using the 9 Laws of Exponents:

a)

b)

c)

d)

38.

Simplify using the 9 Laws of Exponents:

a)

b)

c)

d)

39.

Simplify: $\frac{x^2y^5}{x^9y^5}$

a)

$x^2$

b)

$\frac{1}{x^2}$

c)

$\frac{1}{x^7}$

d)

$x^7$

40.

Simplify: $\frac{12r^{15}}{2r^3}$

a)

$72r^3$

b)

$72r^{27}$

c)

$6r^3$

d)

$6r^{12}$

41.

Which expression is equivalent to $\frac{15x^7y^2}{3x^4y^3}$ ?

a)

$5x^3y$

b)

$12x^3y$

c)

$\frac{5x^3}{y}$

d)

$\frac{12x^3}{y}$

42.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

43.

Find the equation of the line that goes through the point (-15, 12) and has a slope of 1/5.

a)

$y=\frac{1}{5}x+15$

b)

$y=15x+\frac{1}{5}$

c)

$y=\frac{1}{5}x+9$

d)

$12=\frac{1}{5}\left(-15\right)+15$

44.

Find the equation of the line that goes through the point (2, -10) and has a slope of 4.

a)

$y=2x-2$

b)

$y=2x-18$

c)

$-10=2\left(4\right)-18$

d)

$y=\frac{2}{-10}x+2$

45.

Find the equation of the line that goes through the point (-7, -3) and has a slope of 5.

a)

$y=5x-3$

b)

$y=5x+b$

c)

$y=-\frac{7}{-3}x+5$

d)

$y=5x+32$

Chapter 3 Retention Review

Total questions: 45

Worksheet time: 2hrs 50mins

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