Name ______Date ______Per. ___Teacher ______
Equations /Inequality Review
Solve and Check each equation.
1. -3(1 - 2x) = 15 Check
2. 24x - 18 = 22 – 4x
3. + 5 = -15
4. -3(2b - 1) + 7 = 70
Quadrilaterals
Write an equation to find each missing angle.
5) Equation:______
Solve:
6) The four angles in a quadrilateral are given: ÐA = 5(2x - 16)°, ÐB = 5x°,
ÐC = 2(x – 5)°, and ÐD = -3(10 - x)°. Find each missing angle.
Equation:______
Solve:
Perimeter Problems
7) The perimeter of rectangle ABCD is 48 inches. Write an equation to figure out how long each side length measures.
Write an equation:
Simplify:
Solve:
Word Problems
8) A taxi service charges you $1.50 plus 60 cents per minute for a trip to the airport. The total charge is $13.50. How many minutes did the ride to the airport take?
Equation:______
Solve:
Answer: _____ minutes
9) Juan attends a carnival. The admission fee is $8. Tickets for rides cost $4 each. Juan needs one ticket for each ride. Write an equation Juan can use to determine the number of ride tickets, r, he can buy if he has $32 before he pays the admission fee. Write an equation to find the number of tickets Juan can buy.
Equation:______
Solve:
Answer: _____ tickets
10) Stephanie and Maria had lunch at the mall. They ordered three slices of pizza and two colas. Their bill came to $6.00. If the price of a cola soda is $0.75, what was the price of one slice of pizza?
Equation:______
Solve:
Answer: $______
Inequalities
11) Which inequality is represented in the accompanying graph?
(a) –3 ≤ x < 4 (c) –3 < x < 4
(b) –3 ≤ x ≤ 4 (d) –3 < x ≤ 4
12) Which graph best represents the solution set for the inequality
Solve and Graph each Inequality.
13) ≤ 126 14) 2x - 8x - 18 ³ 12
15) 9z + 2(2 – z) 25 16) 18 -10x + 3(2x + 2)
Name ______Date ______Per. ___Teacher ______
Equations /Inequality Review
Solve and Check each equation.
1. -3(1 - 2x) = 15 Check
2. 24x - 18 = 22 + 4x
3. + 5 = -15
4. -3(2b - 1) + 7 = 70
Quadrilaterals
Write an equation to find each missing angle.
5) Equation:___9x + 18 = 360______
Solve:
6) The four angles in a quadrilateral are given: ÐA = 5(2x - 16)°, ÐB = 5x°,
ÐC = 2(x – 5)°, and ÐD = -3(10 - x)°. Find each missing angle.
Equation:__20x – 120 = 360 ___
Solve:
Perimeter Problems
7) The perimeter of rectangle ABCD is 48 inches. Write an equation to figure out how long each side length measures.
Write an equation:
Simplify:
Solve:
Word Problems
8) A taxi service charges you $1.50 plus 60 cents per minute for a trip to the airport. The total charge is $13.50. How many minutes did the ride to the airport take?
Equation: 0.60m + 1.50 = 13.50
Solve:
Answer: 20 minutes
9) Juan attends a carnival. The admission fee is $8. Tickets for rides cost $4 each. Juan needs one ticket for each ride. Write an equation Juan can use to determine the number of ride tickets, r, he can buy if he has $32 before he pays the admission fee. Write an equation to find the number of tickets Juan can buy.
Equation:______4r + 8 = 32___
Solve:
Answer: 6 tickets
10) Stephanie and Maria had lunch at the mall. They ordered three slices of pizza and two colas. Their bill came to $6.00. If the price of a cola soda is $0.75, what was the price of one slice of pizza?
Equation:____3p + 1.50 = 6.00______
Solve:
Answer: $1.50
Inequalities
11) Which inequality is represented in the accompanying graph?
(a) –3 ≤ x < 4 (c) –3 < x < 4
(b) –3 ≤ x ≤ 4 (d) –3 < x ≤ 4
12) Which graph best represents the solution set for the inequality
Solve and Graph each Inequality.
13) ≤ 126 14) 2x - 8x - 18 ³ 12
15) 9z + 2(2 – z) 25 16) 18 -10x + 3(2x + 2)