Free Printable Math Models Mid-Term Review

Worksheets

Math Models Mid-Term Review

Total questions: 55

Worksheet time: 4hrs 24mins

Name

Class

Date

The steps in solving 5b - 6 = 24 are:

Add 6 to both sides and divide both sides by 5

Add 6 to both sides and multiply both sides by 5

Subtract 6 from both sides then multiply both sides by 5

Subtract 6 from both sides then divide both sides by 5

The objective when solving an equation is to....

isolate the variable.

check the solution.

guess and check.

Combine Like Terms.

Solve 2x - 3 = 1

-2

Solve 2x -7 = -23

-8

-7

Solve 7y - 4 = -11

-1

-2

Solve the equation 2(3x - 4) = 5x - 6

x = 5

x = 0

x = 2

x = -3

Use the distributive property to solve the equation 2(3x - 4) = 5x - 6

x = -3

x = 5

x = 10

x = 2

Use the distributive property to solve the equation 3(2x + 5) = 4(3x - 2)

x = 10

x = -5

x = 7

x = -22

Solve the equation 2x + 5 = 2x + 7

x = 2

x = -1

No solution

x = 0

10.

Solve the equation 3x - 4 = 3x - 4

No solution

1 solution

2 solutions

Infinite solutions

11.

3a + 9 + 4a = 2

-1

no solution

-7

12.

What is the first step in solving the equation 2a - 4(a - 5) = 10

Add 4 to both sides

Add the 2a and a

Distribute 4 to a and -5

Distribute -4 to a and -5

13.

$50\ =-5\left(6n\ +\ 8\right)$

$n\ =9$

$n\ =\ -3$

$n\ =-10$

$n\ =\ -20$

14.

What type of correlation does this graph show?

A) Positive

B) negative

C) none

D) all of the above

15.

Which scatter plot diagram shows the strongest positive correlation?

16.

Two variables have a positive association when

the value of one variable tends to increase as the other variable increases.

the value of one variable tends to increase as the other variable decreases.

the value of one variable tends to increase regardless how the other variable change.

the values of both variables are always positive.

17.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

y = 1.5x + 12

y = 12x + 1.5

y = 0.67x - 8

y = -8x + 0.67

18.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

y = 61.93x - 1.79

y = -1.79x + 61.93

y = 0.016x + 0.03

y = 0.03x + 0.016

19.

Write a linear equation in the form of y=mx+b

y = 2x + 3

y = -2x + 3

y = 2x -3

y = 3x - 4

20.

Write a linear equation in the form of y=mx+b

y= 3x + 5

y = 5x - 3

y = 2x + 3

y = 5x + 3

21.

Write a linear equation in the form of y=mx+b

y = 2x + 2

y = 2x - 2

y = x + 2

y = 3x - 2

22.

What inequality is graphed here?

x > 1

x ≥ 1

x < 1

x ≤ 1

23.

What inequality is graphed here?

x ≤ -2

x < -2

x > -2

x ≥ -2

24.

-3 + x ≤ -11

x ≤ -8

x ≤ 8

x ≥ -8

x ≥ 8

25.

6x - 4 ≥ 26

x ≥ 3.67

x ≥ 5

x < 5

x ≤ 5

26.

The rate is given as a percent (%). Before using it in the simple interest formula, you must first convert it to a______.

fraction

decimal

ratio

dollar amount

27.

What does the "p" in the interest formula stand for?

Principal

Interest

rate

time

28.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays a simple interest rate of 3.8%. What will be the amount of interest earned after 15 years?

(a)

29.

Emily’s parents put $1500 in her bank account for college tuition at a simple interest rate of 8.25%. What will be the balance after 18 years?

(a)

30.

Mark took out a loan for $25,690 to purchase a new truck at a simple interest rate of 5.2%. How much interest will he pay on his truck after 5 years?

(a)

31.

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% simple interest, how much will she have in total in her account at the end of 10 years?

(a)

32.

Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

$15,415.94

$15,683.28

$15,927.56

$16,109.05

33.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

$1,584.62

$2,651.39

$2,706.86

$1,825.10

34.

Monthly means how many times a year?

365

35.

Principal: $999
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
State the future account balance.

$2794.10

$2738.11

$2774.98

$2807.11

36.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

$33,299.42 playing dodgeball

$33,672.68 climbing trees

$34,157.04 riding unicycles

$34,710.88 flipping pancakes

37.

In an exponential function, what does the 'a' represent?

SLOPE

RATE OF CHANGE

Y-INTERCEPT

COMMON RATIO

38.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

39.

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Growth

Decay

40.

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Growth

Decay

41.

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

Exponential Growth

Exponential Decay

Linear

None

42.

Describe the equation
y = 100 * 2^x

It starts with 100 and is tripling

It starts with 100 and is doubling

It starts with 2 and is being multiplied by 100 each time

It starts with 100 and is adding 2 each time

43.

This is an example of.....

exponential decay

exponential growth

constant change

a linear function

44.

The population of a school is 2200 and is increasing at a rate of 2% each year. Find the population after 6 years.

$8945$

$2369$

$1245$

$2478$

45.

Is the population growing or decreasing, and by how much?

growing by 4.5%

decreasing by 4.5%

growing by 95.5%

decreasing by .955

46.

Change 6.75% to a decimal.

67.5

.675

675

.0675

47.

What is the transformation?

Vertical Translation up 1

Vertical Translation down 1

Horizontal Translation left 1

Horizontal Translation right 1

48.

What is the transformation?

Vertical Translation up 2

Vertical Translation down 2

Horizontal Translation left 2

Horizontal Translation right 2

49.

How has the function $3^x-5$ been transformed from the parent function $3^x$ ?

Shifted up 5

Shifted down 5

Reflection over the x-axis

Reflection over the y-axis

50.

$y=4^{\left(x-2\right)}$

$y=4^x-2$

$y=4^x+2$

$y=4^{\left(x+2\right)}$

51.

Using the parent function y=3^x what would the graph of y=3^x - 1look like?

Horizontal Shift to the right 1 unit

Horizontal shift to the left one unit

Vertical shift one unit up

Vertical shift one unit down

52.

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

Horizontal shift left one unit

Horizontal shift right one unit

Vertical shift up one unit

Vertical shift down one unit

53.

Write the equation of the graph.

f(x) = 3^x+2

f(x) = 3^x - 2

f(x) = 3^x + 2

f(x) = (1/3)^x +2

54.

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

55.

What transformations have happened to y = 2^x if the new equation is

y = 2^(x+3) -6

It stayed the same

up 3, left 6

right 3, down 6

left 3, down 6

Reset

Math Models Mid-Term Review

Total questions: 55

Worksheet time: 4hrs 24mins

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