Free Printable CCA Chapter 9 Review

Worksheets

CCA Chapter 9 Review

Total questions: 56

Worksheet time: 4hrs 52mins

Name

Class

Date

Using the graph solve the equation
-x²-2x+3=-5.

{-3,-1}

{-2,0}

{-4,2}

{-1,4}

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

{-1,5}

{3,4}

{1,5}

{2,4}

Solve by factoring: x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

Solve by factoring: x² + 3x - 18 = 0

x = -3 and x = 6

x = 3 and x = -6

x = -9 and x = 2

x = 9 and x = -2

Solve for x:

(x + 6)²= 49

x=7,12

x=±7

x=1,-13

x=43,-55

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

In the equation

x² - 5x + 7= 0,

match each leading coefficient with its correct letter

for a, b and c

a = 0, b = 5, c = 7

a = 1, b = -5, c = 7

a = 7, b = 5, c = 1

a = 1, b = 5, c = 7

What number goes in the blank to complete the square for this trinomial?

x² – 8x + ___

-4

-16

What is the correct solution to x² - 12x + 4 = 20?

x = 12.48, -0.48

x = 48

x = 27, -15

x = 12.48

10.

Use the quadratic formula to solve 2x² + 2x - 12.

-2, 3

2, 3

2, -3

-2, -3

11.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

No Real Solution

12.

12. Solve using any method.

(x - 2 )² -49 = 0

5, 9

^{-9, -5}

9, -5

^{9, -9}

13.

What is the degree of every Quadratic Equation?

14.

Solve

(n +7)(n + 9) = 0

n = -7; n = 4

n = 7; n = -9

n = -3; n = 10

n = -7; n = -9

15.

Solve the following equation by completing the square:
n² - 2n - 3 = 0

{3 and-1}

{4 and -4}

{5 and -3}

{8 and -7}

16.

Complete the Square

x² + 6x - 5

(x + 3)² = 5

(x + 6)² = 9

(x + 3)² = 14

(x + 6)² = 14

17.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

18.

Solve by completing the square.
x² +12x = 5

X = 6 + √41 or 6 − √41

X= 35 or 47

X = −6 + √41 or −6 − √41

X = √35 or √47

19.

Identify the 'b' value: y = 16x² -8x -24

-8

-24

20.

The discriminant is

aX² + bX + c

b - 4ac

b² - 4ac

b² + 4ac

21.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

x = 7/2, x = -6

x = -5/2, x =5

x = -3/7, x =6

x = -5/2, x = 7

22.

QUESTION 5

23.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

x = 1 and x = 3

x = 6 and x = -2

x = -1 and x = -3

24.

Pick the correct inequality.

25.

What inequality does the number line graph represent?

x ≥ 3

x > 3

x < -3

x ≤ -3

26.

When graphing b< 6 would you use an open or closed circle?

Open

closed

27.

Match the graph with its inequality.

a > 11

a < 11

a ≥ 11

a ≤ 11

28.

10 ≥ x - 3

x ≤ 13

x ≥ 13

x ≤ 7

x ≥ 7

29.

-4x + 14 ≤ 54

x ≥ -10

x ≤ -10

x ≥ 10

x ≤ 10

30.

Solve.

x ≤ 14

x < 14

x ≥ 14

x = 14

31.

Solve.

x > -28

x > 28

x > -14

x > 14

32.

When do you "flip the inequalities sign"?

When you add or subtract a negative

When it's a 1-step problem

When you multiply or divide a negative

When it's a 2-step problem

33.

Write the inequality

y>-5x-3

y≥-5x-3

y<-5x-3

y≤-5x-3

34.

Write the inequality

y>2/3x-3

y<2/3x-3

y≤2/3x-3

y≥2/3x-3

35.

Write the inequalities

x≤-2
y≤x-3

y≤-2
y≤x-3

x≥-2
y≤x-3

y≥-2
y≤x-3

36.

Write the inequalities

y≥-2x+3
y≤x-3

y>2x+3
y≥x-3

y>-2x+3
y≥x-3

y<-2x+3
y≤x-3

37.

Select the correct graph for each inequality.

38.

Which point below is NOT part of the solution set?

(0, 0)

(5, 1)

(-1, -3)

(20, -5)

39.

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

40.

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

x + y ≥ 25
x + y ≤ 8

100x + 25 y ≤ 100
2x + 8y ≤ 14

x + y ≥ 100
8x + 25y ≤ 14

8x + 25y ≥ 100
x + y ≤ 14

41.

Tell whether the ordered pair
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

Yes

42.

Solve the system of inequalities by graphing.

43.

Solve the system of inequalities by graphing.

44.

Shade above or below? y ≥

Above

Below

45.

Solid or dashed line? Y ≥

Solid

Dashed

46.

Are the points on the boundary line part of the solution set or not?

Yes, they are part of the solution set

No, they are NOT part of the solution set

47.

Which of the following is a solution to the systems of inequalities?

(-1, -3)

(3, 0)

(-2, 2)

(4, 1)

48.

Solve the system of inequalities by graphing.

49.

Write an inequality represented by the graph.

x < - 3

y < - 3

x > - 3

x ≥ - 3

50.

How can I tell if an inequality will have a solid line?

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

51.

The graph shows which inequality?

y ≤ 3

y ≥ 3

y > 3

x > 3

52.

Which of the following equations match the given graph?

y ≤ -3/4 x + 3

y ≥ -3/4 x + 3

y < -3/4 x + 3

y > -3/4 x + 3

53.

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

x + y ≥ 6
32x + 20y ≤ 150

x + y ≥ 632
x + 20y ≥ 150

x + y ≤ 6
32x + 20y ≤ 150

x + y ≤ 6
32x + 20y ≥ 150

54.

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

2x + 3y > 100

x + y ≤ 40

100x + 2y > 3

x + y ≤ 40

100x + 40y > 100

3x + 2y ≤ 40

3x + 2y > 100

x + y ≤ 40

55.

What's the difference between systems of equations and systems of inequalities?

Systems of equations have 1 solution, no solution, or infinite solutions while systems of inequalities can have a range of solutions.

Systems of equations use slope-intercept form only while systems of inequalities use standard form only.

Systems of equations have a shaded region while systems of inequalities do not.

There is no difference.

56.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

b + t < 15
3b + 6t > 66

b + t > 15
3b + 6t < 66

3b + 6t > 15
b + t < 66

3b + 6t < 15
b + t < 66

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CCA Chapter 9 Review

Total questions: 56

Worksheet time: 4hrs 52mins

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