Free Printable Prerequisite Unit Review Precalc

1.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

2.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

3.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

4.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

5.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

6.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

7.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

8.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

9.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

10.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

11.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

12.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

13.

Write the equation of the line that passes through the points (0, -5) and (4, 3)

a)

y=2x-5

b)

y=1/2x-5

c)

y=2x+5

d)

y=1/2x+5

14.

If two lines are parallel their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

15.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

16.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

17.

Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4

a)

y = 3

b)

x = -3

c)

y = -3

d)

x = 3

18.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

19.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

20.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

21.

Which of the following would result in NO SOLUTION?

a)

x < 1 or x > 5

b)

x > 1 or x < 5

c)

x < 1 and x > 5

d)

x > 1 and x < 5

22.

Express the following in Interval Notation
-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

23.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

24.

Can you use the symbols [ or ]
with infinity?

a)

Yes

b)

No

25.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

26.

Simplify the expression.

a)

7⁶

b)

7^-5

c)

1/7⁵

d)

7⁵

27.

$w^{15}\ \cdot\ \frac{1}{w^5}$

a)

w¹⁰

b)

w²⁰

c)

w³

d)

$\frac{1}{w^{75}}$

28.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

29.

Simplify: $\frac{12x^5y^4}{2x^9y}$

a)

$6x^{-4}y^3$

b)

$\frac{6y^3}{x^4}$

c)

$\frac{12y^3}{2x^4}$

d)

$\frac{6x^{-4}}{y^3}$

30.

Simplify: $\left(4y\right)^{-3}$

a)

$\frac{1}{64y^3}$

b)

$64y^{-3}$

c)

$-12y^{-3}$

d)

$\frac{64}{y^3}$

31.

Simplify: $\frac{\left(4x^2y^3\right)^0}{8x^3}$

a)

$\frac{1}{8x^3}$

b)

$\frac{y^3}{2x}$

c)

$\frac{4y^3}{8x}$

d)

$1$

32.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

33.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

34.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

35.

Write the equation of a circle with center (h,k) and radius r.

a)

x² + y² = r²

b)

(x + h)² + (y + h)² = r²

c)

(x - h)² + (y - k)² = r²

d)

(x - h)² - (h - k)² = r

36.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

37.

Write the equation at the origin with radius 6.

a)

x² + y² = 6

b)

x² + y² = 36

c)

x + y = 6

d)

x + y = 36

38.

What is the center of a circle with equation (x-4)² + y² = 5?

a)

(-4, 0)

b)

(4, 0)

c)

(4, 1)

d)

(-4, 1)

39.

Find the center if the endpoints of the diameter are at (-12, -7) and (3, 5).

a)

(-4.5, -1)

b)

(-7.5, -6)

c)

(4.5, 1)

d)

(7.5, 6)

40.

Factor completely: 3x²-36x+96

a)

(x-4)(x-8)

b)

3(x-4)(x-8)

c)

3(x+1)(x+32)

d)

3(x-2)(x+16)

41.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

42.

Factor:
8x² + 22x + 5

a)

(x + 1)(2x + 5)

b)

(8x + 1)(x + 5)

c)

(4x + 1)(2x + 5)

d)

(4x - 1)(2x - 5)

43.

Factor:
2x² + 11x + 14

a)

(x + 7)(2x + 2)

b)

(x + 2)(2x + 7)

c)

(x + 14)(2x + 1)

d)

(x + 1)(2x + 14)

44.

Factor:
12x² + 11x + 2

a)

(12x + 1)(x + 2)

b)

(3x + 1)(4x + 2)

c)

(3x + 2)(4x + 1)

d)

(12x + 2)(x + 1)

45.

Which of the following is a difference of perfect squares?

a)

x² - 18

b)

4x² + 36

c)

9x² - 100

d)

x² + 4

46.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

47.

Match the graph to the correct table.

a)

b)

c)

48.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

49.

The equation t=1.06p gives the total cost of an item after a 6% sales tax is added. What is the total cost of a $49.50 pair of shoes after a 6% sales tax is added? Write the answer as an ordered pair.

a)

(49.50, 2.97)

b)

(49.50, 46.53)

c)

(49.50, 52.47)

d)

(49.50, 79.20)

50.

The solution of the equation is between...

a)

−50 and −40

b)

−20 and −10

c)

−30 and −20

d)

−40 and −30

Prerequisite Unit Review Precalc

Total questions: 50

Worksheet time: 4hrs 34mins

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