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}