Algebra: Equations & Expressions Practice

translate into an algebraic expression: two less than h

h - 2

Simplify: −3 ÷ 3(a + c(b + 5) − (−6 + a)) [use a = 1, b = −6, and c = −4]

-10

Solve: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x

-5

Simplify: ((−16 − (−2 + 1)) × 2) ÷ 5

-6

Solve: a + 5 = −5a + 5

0

Solve: −20 = −4x − 6x

2

translate into an algebraic equation: twice the sum of 5 and a number

2(5 + n)

translate into an algebraic equation: twice q is 8

2q = 8

Simplify: x(z + 3) + 1 + 3 − y [use x = 6, y = −5, and z = 2]

39

Simplify: −3 × 2 × 2(−3 − 1)

48

Simplify: 7(1 + 9v) − 8(−5v − 6)

55 + 103v

Solve: 6x + 3 − 6x = 3

Infinite Solutions

Solve: 8(k − 6) + 58 = 2(4k + 5)

Infinite Solutions

Solve: 1 = 5 + p − p

No Solution

Solve: 154 = -4(8 + 6r) + 24r

No Solution

translate into an algebraic expression: the product of q and 8

8q

translate 7x = 56 into an algebraic sentence

the product of x and 7 is fifty-six

translate into an algebraic equation: u decreased by 17 is 13

u - 17 = 13

Solve: 144 = −12(x + 5)

{-17}

Solve if the domain of x is (0, 1, 2, 3, 4, 5, 6); 4x = x × 4

{0, 1, 2, 3, 4, 5, 6}

Solve: −243 = −9(10 + x)

{17}

Solve if the domain of x is (0, 1, 2, 3, 4, 5, 6); 3x + 1 = 10

{3}

Solve if the domain of x is (0, 1, 2, 3, 4, 5, 6); 2 = x - 4

{6}