1. Solving Algebraic Equations Real-World Equations
Equivalent Equations
Solving Algebraic Equations
Real-World Equations
Solving Algebraic Inequalities
Real-World Inequalities
200
200
200
200
200
400
400
400
400
400
600
600
600
600
600
800
800
800
800
800
ANSWERS

2. Are the following equations equivalent?
200
Are the following equations equivalent?
2x – 3 = 5 and x = 4
Back

3. Are the following equations equivalent?
400
Are the following equations equivalent?
2x + 9 = 7 and 2x = 2
Back

4. Are the following equations equivalent?
600
Are the following equations equivalent?
5x – 4 + 3x = 8 and 8x = 12
Back

5. Are the following equations equivalent?
800
Are the following equations equivalent?
𝟑 𝟒 𝒙−𝟕=𝟐 and 𝟏 𝟐 𝒙=𝟔
Back

6. 200
Solve the equation:
7c – 11 = 17
Back

7. 400
Solve the equation:
1.5d = 9.2
Back

8. 600
Solve the equation:
8h – 5 = 11h – 14
Back

9. 800
Solve the equation:
3(6 – 4x) – 27x = 10x – 31
Back

10. 200
Write and solve an equation: Ella plans to buy a laptop for $1,345 in 12 weeks. She has already saved $145. How much should she save each week so she can buy the laptop?
Back

11. 400
Write and solve an equation: Two identical isosceles triangles each have a base of 50 ft and the other two sides are x ft long. If the combined perimeter of both triangles is 242, find the value of x.
Back

12. 600
Write and solve an equation: A plant grows at a rate of 4.5 cm per week. It is now 12 cm tall. If the plant continues to grow at the same rate, in how many weeks will it reach a height of 48 cm?
Back

13. Write and solve an equation:
800
Write and solve an equation:
The cost of seeing a weekday show is 2/3 the cost of a weekend show. In one month, Andy spent $42.50 for 4 weekday shows and 3 weekend shows. Find the price of a weekday show and a weekend show.
Back

14. Solve and graph the inequality:
200
Solve and graph the inequality:
2 > x – 12
Back

15. Solve and graph the inequality:
400
Solve and graph the inequality:
8 – 4x > 12 – 3x
Back

16. Solve and graph the inequality:
600
Solve and graph the inequality:
1.7x + 5 < x
Back

17. Solve and graph the inequality:
800
Solve and graph the inequality:
𝟐 𝟑 𝒙+𝟐≥𝟗− 𝟏 𝟑 𝒙
Back

18. Write and solve an inequality:
200
Write and solve an inequality:
The average of 87, 90, 89 and a fourth number is at least 90. Describe the value of the fourth number
Back

19. Write and solve an inequality:
400
Write and solve an inequality:
Charlie wants to join a golf club. Club A offers $80 for a new membership fee plus $45 per month. Club B offers $110 for a new membership fee plus $30 per month. After how many months will Club B be less expensive than Club A?
Back

20. Write and solve an inequality:
600
Write and solve an inequality:
Party favors are on sale for $2.40 each. You have $380 to spend on the decorations and gifts, and you have already spent $270 on decorations. How many party favors can you buy?
Back

21. Write and solve an inequality:
800
Write and solve an inequality:
The coach of a hockey team can spend at most $475 on new team uniforms. He will order the uniforms online and pay a mailing cost of $ If each uniform costs $29, how many uniforms can he order?
Back

22. ANSWERS Equivalent Equations Solving Algebraic Equations
Real-World Equations
Solving Algebraic Inequalities
Real-world inequalities
YES
C = 4
$100 per week
X < 14
Open point, to left
Atleast 94 NO
D = 4
35.5 feet
X < -4
After 2 months
H = 3
8 weeks
X < 11
At most 45 favors
X = 1
Weekday: $5
Weekend: $7.50
X ≥ 7, closed point, to right
At most 16 uniforms