Grade 7 Common Core Mathematics

Front 1

Two integers which are ________ will always combine to make 0.

Back 1

Two integers which are opposites will always combine to make 0.

Front 2

A hydrogen atom has a 0 charge because its two consituents are _______ charged.

Back 2

A hydrogen has a 0 charge because its two constituents are oppositely charged.

Front 3

(-5) + 3

Back 3

-2

Front 4

6 - (-1)

Back 4

7

Front 5

8 + (-7)

Back 5

1

Front 6

(-4) - (-8)

Back 6

4

Front 7

_______ can be understood as the number located a distance |q| away from p in the positive or negative direction on a number line (depending on whether q is positive or negative).

Back 7

p+q can be understood as the number located a distance |q| away from p in the positive or negative direction on a number line (depending on whether q is positive or negative).

Front 8

Write an expression to show the distance travelled by Pablo if he walked four blocks east, then turned around and walked fifteen blocks west.

Back 8

4 + (-15)

Front 9

At a bus stop, 6 people got off and 9 people got on. How many more or less people are on the bus than before the stop?

Back 9

(-6) + 9 = 3 There are 3 more people on the bus than before the stop.

Front 10

Subtracting a number is the same operation as adding the _________.

Back 10

Subtracting a number is the same operation as adding the opposite (or additive inverse).

Front 11

x - y = x + ______

Back 11

x - y = x + (-y)

Front 12

Use a number line to add -4 + 7.

Back 12

Front 13

The distance between two rational numbers on the number line can be expressed as the __________ of their difference.

Back 13

The distance between two rational numbers on the number line can be expressed as the absolute value of their difference.

Front 14

Use a number line to show that the distance between -6 and 8 is equal to the absolute value of their difference.

Back 14

Front 15

When multiplying a positive rational number times another positive rational number, the product will always be (positive, negative).

Back 15

When multiplying a positive rational number times another positive rational number, the product will always be positive.

Front 16

When multiplying a positive rational number times a negative rational number, the product will always be (positive, negative).

Back 16

When multiplying a positive rational number times a negative rational number, the product will always be negative.

Front 17

When multiplying a negative rational number times another negative rational number, the product will always be (positive, negative).

Back 17

When multiplying a negative rational number times another negative rational number, the product will always be positive.

Front 18

(-4) x (-9)

Back 18

36

Front 19

7 x (-12)

Back 19

-96

Front 20

3 x 14

Back 20

42

Front 21

-8 x 11

Back 21

-88

Front 22

(-5) x (-3)

Back 22

15

Front 23

Integers can be divided, as long as the divisor is not _______.

Back 23

Integers can be divided, as long as the divisor is not zero.

Front 24

When dividing a positive rational number by a positive rational number, the quotient will always be (positive, negative).

Back 24

When dividing a positive rational number by a positive rational number, the quotient will always be positive.

Front 25

When dividing a positive rational number by a negative rational number, the quotient will always be (positive, negative).

Back 25

When dividing a positive rational number by a negative rational number, the quotient will always be negative.

Front 26

When dividing a negative rational number by a positive rational number, the quotient will always be (positive, negative).

Back 26

When dividing a negative rational number by a positive rational number, the quotient will always be negative.

Front 27

When dividing a negative rational number by a negative rational number, the quotient will always be (positive, negative).

Back 27

When dividing a negative rational number by a negative rational number, the quotient will always be positive.

Front 28

4 ÷ 8

Back 28

1/2

Front 29

(-70) ÷ 10

Back 29

-7

Front 30

-40 ÷ -8

Back 30

5

Front 31

81 ÷ -9

Back 31

-9

Front 32

Convert 3/8 to a decimal using long division.

Back 32

Front 33

Covert 4/9 to a decimal using long division.

Back 33

Front 34

Convert 2/7 to a decimal using long division.

Back 34

Front 35

Any rational number can be expressed as either a terminating or _______ decimal.

Back 35

Any rational number can be expressed as either a terminating or repeating decimal.

Front 36

Roger's car loan is automatically deducting $35 from his bank account every month. How much will the deductions total for the year?

Back 36

($-35) (12) = -$420

Front 37

The temperature increased by 4⁰ from 11 am to 12 noon, and then decreased by 2⁰ from 12 noon to 1 pm. What was the total change in temperature from 11 am to 1 pm?

Back 37

4⁰ + (-2⁰) = 2⁰