Review

Integers

100

Solve 5 + 6 + 7 - 20

-2

200

Solve (-1)(-1)(-1)(-1)(-1)

-1

300

Solve:

[10 × (-3) ÷ 6] + 3² 

[10 × (-3) ÷ 6] + 3² =[-30 ÷ 6] + 9 =

=-5 + 9 =

=4

400

Solve -2 + 30 ÷ 5(-2) + 32

-2 + 30 ÷ 5(-2) + 32 = -2 + 6(-2) + 32 = -2 -12 + 32 =-14 + 32 =18 BEDMAS

500

Solve (-2 - 4) × 3 ÷ (-1) × 5

(-2 - 4) × 3 ÷ (-1) × 5 = (-6) × 3 ÷ (-1) × 5 *division and multiplication, whichever is first left to right = -18 ÷ (-1) × 5 = 18 × 5 =90

Powers and Exponents

100

What is the Zero Exponent Law

Anything to the exponent of 0 equals 1

200

Simplify to a single power (a^3)(a^5)

a^8 Multiplying powers of the same base, we add the exponents (Product of Powers Rule)

300

Simplify to a single power (-6)⁵ ÷ (-6)

6⁴ 

Dividing powers of the same base, we subtract the exponents (Quotient of Powers Rule)

400

Express as a single power 

[(3)²]³ ÷ 3⁵

 = 3 

When a power is raised to another exponent, we multiply the exponents (Power Rule) When dividing powers of the same base, we subtract the exponents (Quotient of Powers Rule)

500

Solve -5²+ (-4)² - (-3)³

 =-25 + 16 - (-27) =18

Fractions

100

Calcularemos and reduce

2/5 * 3/4

6/20 = 3/10

200

Calculate

3/4 + 6/4 - 7/4

1/2

300

2/3 ÷ 4/5 * 5/3

 25/18

400

Order the following fractions in descending order: 4/3, 3/1, 5/6

*change them to like fractions *find the LCM of the denominators *change each fraction to an equivalent fraction with the LCM as the denominator LCM of 3, 1, 4, and 6 is 12 4/3 = 16/12, 3/1 = 36/12,  5/6 = 10/12 

order is 3/1, 16/12, 5/6

500

Solve 2/3 + 3/5 - 1/15

 18/15 

Mix

100

The square root of twenty-five plus eleven minus two

Fourteen

200

Calculate the surface area of a cube with a side length of 5cm. Answer must include the correct units

All sides of a cube are equal Area of all faces are equal S.A. cube = 6(lxw) =6(5x5) =6(25) =150 cm^2

300

Calculate 

2/3 of 12

8

400

(5/4)⁷ : (7/2)⁷

(5/14)⁷

500

Rachel took 1/2 hour to paint a table and 1/3 hour to paint a chair. How much time did she take in all?

5/6

Fractions problems

100

In my fruit basket, there are 13 pieces of fruit, 5 of which are apples. 

How can we express the number of apples as a fraction?

5/13

200

Maddy reads three-fifth of 75 pages of his lesson. How many pages has he read?

Solution:

He reads 45 pages

300

Simplify this expression by combining like terms 4x + 2 - 3x + 5

You can re-arrange the terms to make it easier Remember, the signs move with the terms 4x + 2 - 3x + 5 = 4x - 3x + 2 + 5 = x + 7

400

Maria spent 1/3 of the money her grandparents gave her on an adventure book.  She also spent 1/9 of the money on a bag of candy. 

What fraction of the payment has Maria spent?

4/9

500

3/5 of a group of children were girls. If there were 24 girls, how many children were there in the group?

There were 40 children in the group.