Number System and Operations ACAP Review

Number Systems and Operations Review

​Copy this review into your notebook.

Multiple Choice

What integer does A represent?

• -5

• -3

• -4

• 2

Fill in the Blanks

Point D is located at _

The x-axis (horizontal) & the y-axis (vertical) meet at a point called the origin.

To plot a point, start at the origin, move in the x- direction (left or right), then move in the y- direction (up or down).

Note: moving left and moving down are negative directions

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Coordinate Plane

Multiple Choice

The coordinates of this point is...

• (3, -5)

• (-5, -3)

• (5, -3)

• (-3, 5)

To reflect across the y-axis, change the sign ofthe x-coordinate.
Example:
(-2, 5) reflected across the y-axis is (2, 5)

​y-axis

To reflect across the x-axis, change the sign ofthe y-coordinate.
Example:
(-2, 5) reflected across the x-axis is (-2, -5)

x-axis

Reflecting Points

Multiple Choice

Reflect point H across the x-axis.

• (3, 2)

• (-3, -2)

• (3, -2)

• (-3, 2)

Multiple Choice

In which quadrant would the reflection across the y-axis lie?

• I

• II

• III

• IV

Complete the following without a calculator.

1.926
x 4.3

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Do you remember?

Multiple Choice

Solve and round to the nearest thousandth

1.926

x 4.3

• 8.281

• 8.282

• 82.818

• 82.819

Multiple Choice

Which answer choice is most logical

13.7 x 2.9 =

• .3973

• 3.973

• 39.73

• 397.3

Review these steps to solving a division problem that includes mixed numbers. Copy as a review if needed.

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Dividing Mixed Numbers

Multiple Choice

The Candy store has 8 ³/₄ lbs. of chocolate-covered raisins. He sells chocolate-covered raisins in ¹/₄ lbs. boxes. How many boxes can he sell with this amount?

• 4

• 9

• 17

• 35

Multiple Select

Choose all values that are equivalent to the problem in the picture.

• 782.25

• 1,654 ¹/₂

• 782 ¹/₄

• ^3,129/₄

A variable is an unknown number represented with a letter.
A coefficient is a number used in multiplying a variable expression.
A constant is a number that has a value that will remain the same.

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Intro to Algebra

Multiple Choice

While school shopping, Gwendolyn bought socks for each of her children. The original price of the socks are $x per pack and she bought 4 packs of socks. If she paid 4x - 9 dollars. How much is the discount?

• $4

• $5

• $9

• $13

Fill in the Blanks

Fill in the blank (using the distributive property)

2³(2 + 5)

= 8 x 2 + _ x 5

Multiple Select

Which expressions are equivalent to

20 + 36

• 2(10 + 18)

• 3(20 + 12)

• 5(4 + 36)

• 4(5 + 9)

Multiple Choice

Find the Greatest Common Factor of 12 and 18?

• 3

• 6

• 12

• 18

Multiple Select

Choose all of the following that represent the Greatest Common Factor of 24 and 36?

• 2² x 3

• 2⁶

• 3² x 2

• 12