Free Printable Review Unit 4 & 5

Worksheets

Review Unit 4 & 5

Total questions: 90

Worksheet time: 23hrs 30mins

Name

Class

Date

Noah and Aria are solving a mystery puzzle. They need to find the secret numbers that satisfy both of these clues:

1. If you double Noah's number and add it to three times Aria's number, you get 23.

2. If you subtract Aria's number from Noah's number, you get 4.

Help them find the secret numbers!

A. (7, 3)

B. (0, 6)

C. (4, 0)

D. (0, 4)

Charlotte is trying to solve a mystery equation: -7x - 8(3x + 2) = 58. Can you help her find the value of x that cracks the code?

x = -3

x = -74/31

x = 2

x = -1

Lily and Anika are trying to solve a mystery involving a system of linear equations. One of the equations in their mysterious system is 4x - y = 3. Help them find the second equation that would make this system have no solution.

A. 4x - y = 3

B. 8x - 2y = 6

C. 4x - y = 4

D. 12x - 3y = 9

While trying to crack the code to a hidden treasure, Aiden stumbles upon a mysterious equation that reads '3=8'. What can he deduce from this puzzling clue?

A. The treasure is hidden at location 3

B. There is a unique location for the treasure (one solution)

C. The treasure map is a hoax (no solution for the treasure)

D. There are infinite locations for the treasure. (many solutions)

Elijah and Abigail are solving a mystery puzzle. They need to find the value of x that satisfies the equation: $5(x+3)-4=2x+2$ . Can you help them crack the code?

x = 1

x = 0

x = 3

x = -1

Lily and Aiden are planning their gym visits for the year. Lily has a premium membership that costs $ $\text{}30\$ plus $5 per visit, while Aiden, who loves flexibility, pays $7 per visit without a membership. How many gym visits would they need to make in a year to end up spending the same amount?

5 visits

10 visits

15 visits

20 visits

Sophia and Aria are playing a game of slopes. Sophia asks Aria, "Can you tell me the slope of a line that would run parallel to the line

$y=\frac{4}{5}x+3$ in the standard $\left(x,\ y\right)$ coordinate plane?"

$-\frac{5}{4}$

$\frac{5}{4}$

$3$

$\frac{4}{5}$

Arjun and Hannah are playing a game of finding parallel lines. Can you help them by identifying which of the following equations represents a line that is parallel to the line with the equation $y=-4x+2$ ?

$2x+4y=6$

$4x-2y=8$

$8x-2y=10$

$4x-y=2$

$8x+2y=10$

Ethan and Kai are exploring the world of angles! They stumbled upon a mysterious diagram. Can you help them figure out which angles are vertical angles?

$\angle8\ \&\ \angle7$

$\angle8\ \&\ \angle6$

$\angle8\ \&\ \angle5$

10.

Arjun and Anika are exploring angles in their geometry class. Can you help them find which angle is complementary to $\angle LJM$ ?

$\angle MJN$

$\angle NJP$

$\angle FGE$

$\angle LJK$

11.

What angle is vertical to angle 2?

∠4

∠1

∠2

∠5

12.

Find $m\angle2.$

$131\degree$

$180\degree$

$49\degree$

13.

Which statement is NOT true?

Parallel lines have the same slope.

Parallel lines intersect at one point.

Perpendicular lines form a right angle.

14.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

$\angle1\ and\ \angle2$

$\angle2\ and\ \angle6$

$\angle4\ and\ \angle8$

$\angle3\ and\ \angle7$

15.

Between what 2 whole numbers is $\sqrt{6}$ ?

1 and 2

2 and 3

3 and 4

4 and 5

16.

Between what 2 whole numbers is $\sqrt{35}$ ?

2 and 3

3 and 4

4 and 5

5 and 6

17.

To which whole number is $\pi$ closest on a number line?

18.

What is the approximate value of √12

3.5

4.5

19.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

-64 , 3.5 , √27 , 6.666...

3.5 , √27 , 6.666..., -64

3.5, -64, √27, 6.666...

6.666, √27, -64, 3.5

20.

Estimate the square root.

9.8

9.3

21.

Olivia and Oliver are sharing a pizza. Olivia takes 1/2 of the pizza. What type of number represents the portion of pizza Olivia took?

Rational

Irrational

22.

Grace and David are exploring the world of numbers. They stumble upon a mysterious number: 3.4567... Can you help them figure out if this number is rational or irrational?

Rational

Irrational

23.

Emma and Daniel are on a treasure hunt, and they need to solve a puzzle to find the next clue. The puzzle shows a mysterious number: √10. Help them decide if this number is Rational or Irrational to unlock the next clue!

Rational

Irrational

24.

Benjamin and Harper are playing a game of fractions. Benjamin says he has 0.23 of a chocolate bar. Can you help Harper find the correct equivalent fraction for Benjamin's chocolate?

23/10

23/50

23/1

23/100

25.

Hannah and Oliver are having a debate. Hannah says, "Every rational number can be written as a fraction!" Oliver isn't so sure. Who do you think is right?

Hannah is right

Oliver is right

26.

Maya and David are having a debate. Maya says, "0.8 is a rational number because it can be expressed as a fraction." David is unsure. Who is correct?

Maya is correct

David is correct

27.

Nora and Jackson are having a playful debate. Nora says, "0 is a whole number!" while Jackson insists, "No, it's not!" Who is correct?

Nora is correct

Jackson is correct

28.

Elijah and Kai are playing a number game. Elijah says, "-9 is an integer." Is Elijah correct?

Yes, Elijah is correct.

No, Elijah is wrong.

29.

Benjamin and Grace are playing a number classification game. Help them classify the Number: -23

Rational

rational, integer

integer

rational, whole

30.

Lily and Henry are baking a cake and they need to divide 5/9 of a cup of sugar equally. How would 5/9 be classified?

rational

whole and integer

only integer

only whole

31.

Emma and Kai are playing a game with lines!
They drew two lines on a graph, as shown in the image. How many solutions does their system of equations have?

One Solution

No solution

Infinitely Many Solutions

32.

Abigail and Ethan are trying to find the secret meeting point on a treasure map by solving the system of equations. Can you help them by graphing the equations?

Graph the equations on a coordinate plane.

Use a graphing calculator to find the intersection.

Solve the equations algebraically.

All of the above.

33.

Michael and Abigail are racing on parallel tracks. Why will their paths never cross?

they have the same slopes.

they have the same y-intercept.

they have different slopes.

they have different y-intercepts.

34.

Luna and Oliver are on a treasure hunt! They found a mysterious table that holds the key to their next clue. Can you help them by finding the slope of the line represented by the table?

x	y
-2	3
-1	5
0	7
1	9
2	11

1/2

35.

Lily and Jackson are on a treasure hunt and they need to find the slope of the path they are on to reach the next clue. Can you help them by finding the slope from the table below?

-1/3

-3

-4

36.

Mia and Sophia are exploring a magical graph world! They stumbled upon a mysterious table of values. Can you help them find the y-intercept?

-1/3

-3

-4

37.

Elijah and Olivia are on a treasure hunt! They found a mysterious map with a graph on it. Can you help them figure out what type of slope the graph has?

Positive

Negative

Zero Slope

Undefined

38.

Mia and Rohan are exploring a magical graph in their math adventure. Can you help them find the y-intercept of the enchanted line?

-5

-1

39.

Imagine you're on a treasure hunt with Kai, and you need to find the magical point where the line crosses the y-axis. What is this point called?

origin

x-intercept

y-intercept

slope

40.

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

41.

Noah and Mia are solving a mystery involving a secret code! The code is hidden in the y-coordinate of the system of equations below. Can you help them crack it?

-4x + y = 4

4x - 3y = 12

y=3

y=8

y=-3

y=-8

42.

43.

Mia and Hannah are solving a mystery puzzle where they need to find the secret number 'y' to unlock a treasure chest. The clues are hidden in these equations:

6y + x = -59

x = -2y + 9

Help them find the value of y to reveal the treasure!

8.5

-17

-12.5

44.

Meet Arjun, a college student who loves juggling between courses! He completed a mix of courses, some worth 3 credits and others worth 4 credits. After a whirlwind of 18 courses, he earned a total of 59 credits.

Can you figure out how many 3-credit courses Arjun completed in his academic adventure?

45.

Mason and Zoe are solving a mystery puzzle. They need to find the value of x to unlock the treasure chest! The clues are hidden in these equations:

3x - 5y = 22

y = −5x + 32

Help them find the value of x to reveal the treasure!

-6.5

0.5

6.5

-0.5

46.

Mia and Rohan are solving a mystery involving a system of equations. Can you help them find the solution?

8x − 4y = −16

3x + 15y = −6

(2,0)

(0,-2)

(-2,0)

(0,2)

47.

At the Candle Kingdom store, Daniel bought 3 large candles and 4 small candles for a total of $64. Meanwhile, Charlotte, who loves candles even more, spent $4 more than Daniel for just 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

4y = 3x + 64

8y = x + 68

4y = 3x + 64

8y = x + 60

3x + 4y = 64

x + 8y = 68

3x + 4y = 64

x + 8y = 60

48.

Samuel and Harper decided to have a little competition at the post office to see who could buy the most postcards and large envelopes with their money. Each postcard costs the same, and each large envelope costs the same.

• Samuel spent $12 on 14 postcards and 5 large envelopes.

• Harper spent $24.80 on 10 postcards and 15 large envelopes.

Can you figure out the cost in dollars of each large envelope?

$1.42

$0.35

$1.15

$0.63

49.

Isla and Elijah are solving a mystery puzzle involving a system of equations. Can you help them find the x-value of the solution?

Isla says: x = 2y − 4

Elijah adds: 7x + 5y = −66

-2

-19/7

-8

-62/19

50.

Abigail and Priya are solving a mystery puzzle. They need to find the value of 'y' to unlock the next clue. Can you help them solve this equation?

5y + 34 = -2(-7y + 1)

y = -4

y = 9

y = 4

y = 36/19

51.

Michael and Scarlett are solving a puzzle. They need to find the value of x in the equation: 2(4x - 3) - 8 = 4 + 2x. Can you help them figure it out?

5/3

52.

Solve for x:

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

x = -6

x = 6

x = 3

53.

-(8n - 2) = 3 + 10(1 - 3n)

n = 1/2

n = -1/2

n = 2

54.

Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2

x = -8

x = 8

x = 2

x = -2

55.

Solve the equation

4x - 5x + 9 = 5x - 9

x = -3

x = 9

x = 3

x = -9

56.

Solve: 2(4x - 3) - 8 = 4 + 2x

5/3

57.

√256

58.

What is the cube root of 1000?

100

500

59.

What is the cube root of 64?

60.

√121

61.

How would you write 564,000,000 in scientific notation?

5.64 x 10^-7

5.64 x 10⁶

5.64 x 10⁸

56.4 x 10⁷

62.

How do you write
8.317 x 10⁶in standard form?

8, 371, 000

83, 170, 000

837, 100

8, 317, 000

63.

Write 7.113 x 10⁷ in standard form.

71,130,000

7,113,000

71,130,000,000

7,113

64.

Write 2.08 x 10²in standard form.

208

0.0208

20,800

0.208

65.

Which number tells us how many spaces to move the decimal?
Cual numero indica el numero de espacios para mover el decimal
8.317 x 10⁶

exponent = 6

coefficient = 6

exponent = 10

exponent = 8.317

66.

Which is the smallest?
1.3 x 10²⁰2.9 x 10²¹9.5 x 10³²8.4 x 10¹⁹

1.3 x 10²⁰

2.9 x 10²¹

9.5 x 10³²

8.4 x 10¹⁹

67.

What is the rate of change (-2,6) and (1,1)?

$\frac{5}{3}$

$-\frac{5}{3}$

$\frac{3}{5}$

$-\frac{3}{5}$

68.

Find the rate of change

$\frac{1}{2}$

-2

$-\frac{1}{2}$

69.

Which statement describes the rate of change of the line?

$20 each week

$30 each week

$25 each week

$70 each week

70.

What would the graph of x = 6 look like?

Vertical

Horizontal

Slanting from right to left

Slanting from left to right

71.

Transform to slope-intercept form

y = -3x + 1

y = 3x + 1

y = (1/3) x +1

y = (-1/3) x - 1

72.

Transform to slope-intercept form

y = -4x - 12

y = 4x + 12

y = -4x + 12

y = -4x + 3

73.

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

74.

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

y-intercept

slope

macaroni

nothing

75.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

76.

Describe the Transformation

Translation

Rotation

Reflection

77.

Which pair of cards show a shape and its image after a rotation?

1 and 4

2 and 6

3 and 5

78.

Which pair of cards shows a shape and its image after a reflection?

1 and 4

2 and 6

3 and 5

79.

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

rotation

translation

dilation

reflection

80.

Rigid Transformations will always maintain and preserve ALL of the following EXCEPT...

size and shape

angle measurements

location and orientation

area and perimeter

parallel lines

81.

Identify the transformation.

Translations

Reflection

Rotation

82.

Identify the transformation.

Translations

Reflection

Rotation

83.

Identify the transformation.

Translations

Reflection

Rotation

84.

Identify the transformation.

Translations

Reflection

Rotation

85.

What properties stay the same on all rigid transformations?

length of line

measure of angle

parallel lines

orientation

86.

Transform to slope-intercept form

y = -3x + 1

y = 3x + 1

y = (1/3) x +1

y = (-1/3) x - 1

87.

Transform to slope-intercept form

y = -4x - 12

y = 4x + 12

y = -4x + 12

y = -4x + 3

88.

Transform to slope-intercept form

y = -x - 9

y = x - 9

y = -x + 9

y = x + 9

89.

Transform to slope-intercept form

y = -5x + 5

y = -x + 5

y = x + 1

y = -x + 1

90.

Transform to slope-intercept form

y = 8x

y = -8x - 8

y = 8x + 8

y = -8x

Reset

Review Unit 4 & 5

Total questions: 90

Worksheet time: 23hrs 30mins

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