Free Printable Izzy Term Review

1.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

2.

Identify the example of the

inverse property of multiplication.

a)

5 ⋅ 0 = 5

b)

5 ⋅ $\frac{1}{5}$ = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

3.

Choose the number that applies to these sets: Real, Rational

a)

⅓

b)

√3

c)

∛4

d)

π

4.

Which of these numbers is a whole number?

a)

√25

b)

0

c)

9

d)

All of the above

5.

Put in the symbol to make the statement true... $-17.5\ \ \ \ \ \ \ \ \ \ -\sqrt[]{121}$

a)

>

b)

<

c)

=

6.

Which list shows $\frac{19}{3},\ \sqrt{27},\ and\ 7.2$ in order from least to greatest?

a)

$\frac{19}{3},\ \sqrt{27},\ 7.2$

b)

$7.2,\ \sqrt{27},\ \frac{19}{3}$

c)

$\sqrt{27},\ \frac{19}{3},\ 7.2$

d)

$7.2,\ \frac{19}{3},\ \sqrt{27}$

7.

Convert into its interval notation:

a)

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

b)

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

c)

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

d)

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

8.

Convert into its interval notation:

$-8\le x<1$

a)

[-8, 1)

b)

(-8, 1)

c)

[-8, 1]

d)

(-8, 1]

9.

Express the following interval in Set notation:
[3, 5]

a)

3 ≤ x ≤ 5

b)

3 < x ≤ 5

c)

3 ≤ x < 5

d)

3 < x < 5

10.

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

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

11.

Look at the picture. Select the correct interval notation for the given number line.

a)

(-∞, -8) U (-4, ∞)

b)

(-∞, -8] U [-4, ∞)

c)

(-8, -4)

d)

[-8, -4]

12.

Express the following interval in Set notation:
(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

13.

4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

14.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

15.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

16.

3x + 5 = 65 - 3x

a)

35

b)

0

c)

-35

d)

10

17.

- 7x + 6 = 110 + 6x

a)

62

b)

-7

c)

6x

d)

-8

18.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

19.

Find two consecutive integers whose sum is -97.

a)

-48, 49

b)

47, 50

c)

-49, -50

d)

-48, -49

20.

A shop sells two kinds of nuts, one that costs $500 per kg and another that costs $540 per kg. How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $525 per kilogram?

a)

25 kg @ $540/kg + 15 kg @ $500/kg

b)

10 kg @ $540/kg + 30 kg @ $500/kg

21.

Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.

a)

291.67 ml of 20% salt solution,
208.33 ml of 8% salt solution

b)

280 ml of 20% salt solution,
220 ml of 8% salt solution

c)

208.33 ml of 20% salt solution,
291.67 ml of 8% salt solution

d)

220 ml of 20% salt solution,
280 ml of 8% salt solution

22.

Working alone at a constant rate, Carla can wash a load of dishes in 42 minutes. If Carla works together with Dan and they both work at constant rates, it takes them 28 minutes to wash the same load of dishes. Working at a constant rate, how long would it take Dan to wash the load of dishes by himself?

a)

50 minutes

b)

1 hour

c)

84 minutes

d)

2 hours

23.

It takes Heather seven hours to pour a large concrete driveway. Alberto can pour the same driveway in eight hours. How long would it take them if they worked together?

a)

1 hour

b)

2.37 hours

c)

3.73 hours

d)

4 hours

24.

If a train travels at a speed of 100 km/hr, how far will it travel in half an hour?

a)

100 km

b)

50 km

c)

25 km

d)

10 km

25.

An aircraft carrier travels a distance of 1,000 km in 3 days. What is its average rate of speed?

a)

1,000 km/hr

b)

3,000 km/hr

c)

333.3 km/hr

d)

13.9 km/hr

26.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

27.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

28.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

29.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

30.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

31.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

32.

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

33.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

34.

Which of these represents slope intercept form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

35.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

36.

Write the equation in slope-intercept form: 3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

37.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

38.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

39.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

40.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

41.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

42.

What is the x-intercept of the equation?
3x - 3y = 21

a)

x = 7 or (7, 0)

b)

x = 3 or (3, 0)

c)

x = -7 or (-7, 0)

d)

None of these.

43.

What is the y-intercept of the equation? 3x - 3y = 21

a)

y = 7 or (0,7)

b)

y = 3 or (0,3)

c)

y = -7 or (0,-7)

d)

None of these.

44.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

45.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

46.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

47.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

48.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

49.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

50.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

51.

What is the Domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

52.

What is the domain?

a)

{-4, -1, 0, 2, 7}

b)

{-5, -4, -1, 0, 1, 2, 4, 7}

c)

{-5, 0, 1, 2, 4}

d)

{5}

53.

What is the Domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

54.

Find the Domain.

a)

All real numbers

b)

x > 3

c)

x > 0

d)

x ≥ 0

55.

What is the Range?

a)

y ≥ 6

b)

y ≤ 6

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

56.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

57.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

58.

Where is T?

a)

(-3, -2)

b)

(-2,-3)

c)

(3,2)

d)

(-3,2)

59.

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

a)

The relation is a function because no value in the domain goes to multiple values in the range.

b)

The relation is a function because all values in the range are different.

c)

The relation is not a function because one value in the domain goes to multiple values in the range.

d)

The relation is not a function because there is an ordered pair where the domain is equal to the range.

60.

If 𝑓(𝑥)=2𝑥+4, which of the following domain values would cause 𝑓(𝑥)=10?

a)

x = 10

b)

x = 3

c)

x = 6

d)

x =5

61.

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

a)

5

b)

-7

c)

7

d)

-5

62.

Let $g\left(x\right)\ =\ 2x-4$ . Find $g\left(\frac{4}{3}\right)$

(a)

63.

Do you think the graph below is or is not a function. Explain why you believe your answer is correct.

4 lines

64.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

65.

Which equation represents the line that passes through the point (-3, -4) and has a slope of 0?

a)

y = 3x - 4

b)

y = -3

c)

y = -4

d)

x = -3

66.

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

a)

$g\left(x\right)\ =\ f\left(x\right)-6$

b)

$g\left(x\right)=4f\left(x\right)$

c)

$g\left(x\right)=f\left(x\right)-3$

d)

$g\left(x\right)=\frac{1}{4}f\left(x\right)$

67.

The graphs of linear functions f and g are shown on the grid. Which function is best represented by the graph of g?

a)

$g\left(x\right)=f\left(x\right)+3$

b)

$g\left(x\right)=f\left(x\right)-3$

c)

$g\left(x\right)=3f\left(x\right)$

d)

$g\left(x\right)=-3f\left(x\right)$

68.

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

a)

$g\left(x\right)=f\left(x\right)+4$

b)

$g\left(x\right)=f\left(x\right)+5$

c)

$g\left(x\right)=3f\left(x\right)$

d)

$g\left(x\right)=\frac{1}{3}f\left(x\right)$

69.

This line is known as f(x) and what else?

a)

grandma function

b)

grandpa function

c)

parent function

d)

baby function

70.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

Graph g rotated

b)

Graph g translated down 4 units

c)

Graph g translated up 4 units

d)

Graph g reflected

71.

What does the equation

g\left(x\right)\ =\ f\left(x\right)-4\

do to the graph of f(x)?

a)

Shifts the graph left four units

b)

Shifts the graph right four units

c)

Shifts the graph up four units

d)

Shifts the graph down four units

72.

Linear parent function $f\left(x\right)=x$ is graphed on the grid. Which graph best represents $g\left(x\right)=-f\left(x\right)-3$ ?

a)

b)

c)

d)

73.

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

a)

Vertical stretch and shift up 11

b)

Horizontal shrink and shift down 11

c)

Vertical shrink and shift up 11

d)

Horizontal stretch and shift down 11

74.

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

a)

g(x) = f(7x) + 3

b)

g(x) = 3f(x) - 7

c)

g(x) = f(3x) + 7

d)

g(x) = 7x - 3

75.

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.

a)

g(x) is shifted up 6 units

b)

g(x) is shifted down 6 units

c)

g(x) is shifted left 6 units

d)

g(x) is shifted right 6 units

76.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

77.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

78.

What inequality does the number line graph represent?

a)

$x\le-4$

b)

$x\ge-4$

c)

x < -4

d)

x < 4

79.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

80.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

81.

What is the first step in solving the following problem?

2x+10=22

a)

Add 10 to each side

b)

Divide by 2

c)

Subtract 10 from each side

d)

Multiply by 10

82.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

83.

Solve:

| x + 4 | > 12

a)

$\left(-\infty,\ -8\right]\ U\ \left[-16,\ \infty\right)$

b)

$\left(-\infty,\ -16\right]\ U\ \left[8,\ \infty\right)$

c)

$\left(-\infty,\ -16\right)\ U\ \left(8,\ \infty\right)$

d)

$\left(-\infty,\ -8\right)\ U\ \left(16,\ \infty\right)$

84.

Solve: | -6x | < 12

a)

$\left(-\infty,\ -2\right)\ U\ \left(2,\ \infty\right)$

b)

[-2, 2]

c)

$\left(-\infty,\ -2\right]\ U\ \left[2,\ \infty\right]$

d)

(-2, 2)

85.

True or False:
3 is a range value in the relation graphed.

a)

True

b)

False

86.

True or False:
4 is a domain value in the function graphed.

a)

True

b)

False

87.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

88.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

89.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

Izzy Term Review

Total questions: 89

Worksheet time: 3hrs 35mins

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