Free Printable Chapter P Review

1.

Convert into its interval notation:

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

d)

$\left(-9,\ \infty\right]$

2.

Solve.

|x + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

3.

a)

10

b)

-10

c)

10i

d)

-10i

4.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

5.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

6.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

7.

Convert x²-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

(x+3)(x+3); x=-3

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

8.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

9.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

10.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

11.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

12.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

13.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

14.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

15.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

16.

(-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

17.

Which of the following symbols read as greater than?

a)

$>$

b)

$<$

c)

$\ge$

d)

$\le$

18.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

19.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

20.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

21.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

22.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

23.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

24.

Which of the following could be the equation of this line?

a)

y = -5/3x + 2

b)

y = -3/5x + 2

c)

y = 5/3x + 2

d)

y = 3/5x + 2

25.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

26.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

27.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

28.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

29.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

30.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

31.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

32.

Convert into its interval notation:

$x\le6$

a)

$\left(-\infty,\ 6\right]$

b)

$\left(-\infty,\ 6\right)$

c)

$\left[-\infty,\ 6\right]$

d)

$\left[-\infty,\ 6\right)$

33.

Determine the solution of the quadratic inequality below:

12x^2-7x-12\le0

a)

$x\le\frac{-3}{4}\ or\ x\ge\frac{4}{3}$

b)

$\frac{-3}{4}\le x\le\frac{4}{3}$

34.

Which of the following symbolizes less than?

a)

$>$

b)

$<$

c)

$\le$

d)

$\ge$

35.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

36.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.

Convert into its interval notation:

$-8\le x<1$

a)

[-8, 1)

b)

(-8, 1)

c)

[-8, 1]

d)

(-8, 1]

38.

How many variables in this statement? How many constants?

2x + 6y = 9z - 5

a)

2 variables and 6 constants

b)

3 variables and 4 constants

c)

4 variables and 3 constants

d)

2 variables and 2 constants

39.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

40.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

Chapter P Review

Total questions: 40

Worksheet time: 3hrs 41mins

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