Chapter Study Guide and Review 257Multi-Step Equations (continued)
Solve Equations with Variables on Each Side (Lesson 3D)
Solve each equation. Check your solution.- m + 1 = 2 m + 7
- 12 b = 7 b + 5
- 3.21 - 7 y = 10 y - 1.89
- VIDEOS A video store has two
membership plans. Under plan A, a
yearly membership costs $30 plus $1.50
for each rental. Under plan B, the yearly
membership costs $12 plus $3 for each
rental. What number of rentals results in
the same yearly cost?
EXAMPLE 10 Solve 5x + 4 = 3 x - 2.5 x + 4 = 3 x - 2- 3 x = - 3 x Subtraction Property of Equality
2 x + 4 = - 2 Simplify. - 4 = - 4 Subtraction Property of Equality
2 x = - 6 Simplify.
^22 x = - 26 Division Property of Equality
x = - 3 Simplify.
Lesson 3Inequalities
Solve Inequalities by Addition or Subtraction (Lesson 4B)
Solve each inequality. Check your solution.- m + 3 < 9 49. 4 ≥ 6 + n
- x + ^34 ≤ 5 51. - 1 31 < g - 5
- LIFTING Ben is training for football and is
lifting 120 pounds on the bench press. He
can lift a maximum of 180 pounds. Write
and solve an inequality to determine
how much additional weight Ben can lift.
EXAMPLE 11 Solve x + 5 ≥ 7. Check
your solution.
x + 5 ≥ 7 Write the inequality.- 5 - 5 Subtract 5 from each side.
x ≥ 2 Simplify.
Check x + 5 ≥ 7 Write the inequality.
2 + 5 7 Replace greater than or equal to 2.x with a number
7 ≥ 7 This statement is true.Solve Inequalities by Multiplication or Division (Lesson 4C)
Solve each inequality.
53.p
_ 3 < 6 54. _2.4w ≤ 3- -0.9d > 6.3 56. - 42 ≤ 6 y
- SHOPPING Jess wants to spend less than
$18.75 on new socks. Each pack costs $6.
Write and solve an inequality to find the
maximum number of packs she can buy.
EXAMPLE 12 Solve - 3 k ≥ 33.- 3 k ≥ 33 Write the inequality.
--^33 k ≤ -^333 Divide each side by and reverse the symbol.-^3
k ≤ - 11 Simplify.
The solution is k ≤ -11.Lesson 4254_258_C04SGR_895130.indd 257 12/31/09 4:07 PM