Free Printable Units 4-7 Review

Worksheets

Units 4-7 Review

Total questions: 20

Worksheet time: 45mins

Name

Class

Date

What is the solution to the system?

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

How many solutions?

One Solution

No solution

Infinitely Many Solutions

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

What is the solution?

One Solution

No solution

Infinitely Many Solutions

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38

2s + 3c = 52

3s + 1c = 38

3s + 2c = 52

s + c = 38

s + c = 52

3s + 3c = 38

1s + 2c = 52

Is (-2,4) a solution to the system?

Solution

Not a solution

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

x + y < 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y ≥ 20

x + y ≤ 10

2x + 3y > 20

x + y < 10

2x + 3y > 20

What shifts have occurred?

left 1, up 5

left 1, down 5

right 1, down 5

right 1, up 5

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

Left 4
up 9

Left 4
Down 9

Right 4
up 9

Right 4
Down 9

10.

Describe the transformation from the Absolute Value Parent Function.

Stretches more narrow, shifts up 4 units

Stretches more narrow, shifts down 4 units

Compresses wider, shifts up 4 units

Compresses wider, shifts down 4 units

11.

What is the vertex of the following function?
y= -4|x+2|+5

(-4,2)

(-2,5)

(-4,-2)

(2,5)

12.

What is the equation of the graph below? You can click the picture to zoom in!

y = - | x + 2| + 4

y = - | x - 2| + 4

y = | x - 2 | + 4

y = | x - 2| - 4

13.

What is the equation of the graph below?

f(x) = I x + 2 I

f(x) = I x + 2 I +2

f(x) = I x - 2 I +2

f(x) = I x - 2 I

14.

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

15.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

16.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

$176,783.29

$424,527.63

$57,357.75

$532,041,076.80

17.

Is this exponential growth or decay?

Growth

Decay

18.

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

y=5000(0.7)^x

y=30(5000)^x

y=5000(1.3)^x

y=5000x^x

19.

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

$23,219.72

$136.72

$51,710.94

$16,710.94

20.

For a system of equations to have infinitely many solutions, what must be true?

No point satisfies both equations in the system

One point satisfies both equations in the system

Any point satisfies both equations in the system

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Units 4-7 Review

Total questions: 20

Worksheet time: 45mins

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