ALGEBRA RECAP

Algebraic Equations

100

10 subtracted from 4 times a number, m.

4m - 10

200

x + 4 = 20

16

300

3(y - 4) = 15

x = 9

400

3x/5 = 30

x = 50

500

A rectangle has a length of (4x)m and width of 3m. Calculate its perimeter and area.

Perimeter = (8x + 6)m & Area = 12x m²

Algebraic Expressions

100

Shelby has 'd' sweets and gave her friend 10. Write an expression to represent the amount of sweets she has left.

d - 10

200

5y² - 7y² + 1

-2y² + 1

300

y − 4m − 3y − 5m

-2y - 9m

400

A rectangle is (3a - 4)m wide and 5m long. Write an expression to represent its perimeter.

(15a - 20)m

500

8(x + 2) - 3(x - 2)

5x + 22

Binary Operations

100

a * b = 2a - b, evaluate 2 * 1

2 * 1 = 3

200

m @ n = m² + 2n, find the value of 3 @ 2

3 @ 2 = 13

300

x ^ y = 2x² + y², find -2 ^ -4

-2 ^ -4 = 24

400

a * b = (ab)/(a + b), find -3 * 4

-3 * 4 = -12

500

j ^ k = xy², find 3 ^ 5 and determine if the operation ^ is commutative.

3 ^ 5 = 75 and 5 ^ 3 = 45 therefore, the operation ^ is not commutative.

Integers

100

What is the sum of -8 and 5?

-3

200

What is the difference between -10 and -2?

-12

300

(-2)³ + (-2) = 

-10

400

Evaluate: 5 - (-3 x 4) + 12

5

500

Evaluate: (-15 x -3)/5 - 7

2

Substitution

100

If a = 9, find find the value of 3a

27

200

If n = 5 find 17 - 3n.

2

300

If m = 5 and n = 2, find the value of 2m+ 3n

16

400

If a = 3 and b = 6, find the value of 2b² - 4a

60

500

If g = -2  and h = -3, find the value of 3gh - 4h  

30