EXPRESSIONS &
FACTORING
FACTORING
Simplify: 4(x + 3)
4x+12
Solve: x + 15 = 22
x = 7
Solve: x − 4 > 10
x > 14
What is 20% of 90?
18
What is the slope of
y = 5x − 2?
5
Factor completely: 12x + 8
4(3x + 2)
Solve: 2x + 5 = 19
x = 7
Solve: 3x ≤ −12
x ≤ -4
A $40 item is 15% off. Sale price?
$34
Find slope through (0,1) and (3, 7)
2
Simplify
2(4x - 1) - 3x +5
5x + 3
Solve:
5x − 3 = 2x + 9
x = 4
Solve and describe the graph: −2x + 4 > 10
x < −3; open dot at −3, arrow left
Find the interest.
P = $500, r = 6%,
t = 2 yrs.
$60
Write the equation: slope = 3, y-int = −1
y = 3x - 1
Factor: 24x − 36. State the GCF.
GCF = 12; 12(2x − 3)
Solve:
4(x − 2) = −20
x = -3
Solve: 6 − 3x ≥ −9
x ≤ 5 (flip — dividing by neg)
Find percent change: $80 to $60
25% decrease
Is (−1, 5) on
y = −2x + 3?
Show work.
y = −2(−1)+3 = 5 ✓ YES
Simplify:
−4(2x − 3) + 5(x + 1)
−3x + 17
Solve:
(3x + 6)/3 = x + 5 − 1
x = 3
A number doubled and decreased by 7 is less than 13. Write and solve.
2x − 7 < 13
x < 10
A car travels 150 miles in 2.5 hours. Use a proportion to find miles in 4 hours.
240 miles
Find slope and y-int: 2y − 4x = 8. Rewrite first.
y = 2x + 4; m = 2, b = 4