Evaluate Equations & Inequalities
Evaluate the expression when x=3 and y=4
2x + y
10
3 + 3 x 8 = 7 + m
m=20
12(-2) + 16 - 25
-33
Solve and graph.
x + 7 > 6
x > -1
Graph: open circle at -1 shaded to the right
Combine like terms to simplify the expression.
12m + n - 3m - 4n
9m - 3n
Which inequality is true when x=4?
A. x + 3 ≥ 15
B. x – 3 > 15
C. 11 + x < 15
D. 11 – x ≤ 15
D.
17x=68
x=4
(28 - 42) ÷ (4 - 16)
-1
Solve and graph.
6x<21
x < 3.5
Graph: open circle at 3.5 shaded left
Use the distributive property to simplify the expression.
18(x - 3)
18x - 54
Evaluate the expression when m = 21 and s = 4
m + (-32) ÷ s2
19
b/14 = -7
b = -98
-122 ÷ 4 - 3 x 24
-84
Solve and graph.
a/(-3) ≤ -2
a ≥ 6
Graph: closed circle at 6 shaded to the right
Use distributive property and combine like terms.
8x + 6(4x -2) - 8x
24x - 12
Evaluate when x = -3
7(6x + 5 - x)
-70
3.6x = 54
x=15
3/4 - 1/6 ÷ (4/5)2
47/96
Solve and graph.
13w ≤ -52
w ≤ -4
Graph: closed circle at -4 shaded left
The sum of the measures of two angles is 109.8 degrees. One angle has a measure of 63 degrees. What is the measure of the second angle? Write an equation and solve.
x + 63 = 109.8
x = 46.8 degrees
If x = -8, then which inequality is true?
A. 2x > 16
B. x +5 ≤ 2
C. -2x < 5
D. x - 2 ≥ 16
B.
Jared knows the length of his garden is 6 feet. He knows the area of the garden is 90 square feet. What is the width of Jared’s garden? (A=lw) Write the equation and solve for the variable.
Equation: 90=6x
x=15 feet
(7.1)2 + 5.7 x (-3.7)
29.32
Find the possible length of the sides of a square with a perimeter of at most 36 inches. Write the inequality, solve, and graph.
4x ≤ 36
x ≤ 9 inches
Graph: closed circle at 9 shaded left
Find the perimeter of a rectangle with a length of 3x + 9 and a width of 5x + 4y.
16x + 8y + 18 square units