Equivalent Equations

Solving Algebraic Equations

Real-World Equations

Real-World Inequalities

Solving Algebraic

Inequalities

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ANSWERS

200

Are the following equations equivalent?

2x – 3 = 5 and x = 4

Back

400

Back

Are the following equations equivalent?

2x + 9 = 7 and 2x = 2

600

Back

Are the following equations equivalent?

5x – 4 + 3x = 8 and 8x = 12

800

Back

Are the following equations equivalent?

and

200

Back

Solve the equation:

7c – 11 = 17

400

Back

Solve the equation:

1.5d + 3.2 = 9.2

600

Back

Solve the equation:

8h – 5 = 11h – 14

800

Back

Solve the equation:

3(6 – 4x) – 27x = 10x – 31

200

Back

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?

400

Back

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.

600

Back

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?

800

Back

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.

200

Back

Solve and graph the inequality:

2 > x – 12

400

Back

Solve and graph the inequality:

8 – 4x > 12 – 3x

600

Back

Solve and graph the inequality:

1.7x + 5 < 16 + 0.7x

800

Back

Solve and graph the inequality:

200

Back

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

400

Back

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?

600

Back

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?

800

Back

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 $6.50. If each uniform costs $29, how many uniforms

can he order?

ANSWERSEquivalent Equations

Solving Algebraic Equations

Real-World Equations

Solving Algebraic Inequalities

Real-world inequalities

YES C = 4 $100 per week X < 14Open point, to left

Atleast 94

NO D = 4 35.5 feet X < -4Open point, to left

After 2 months

YES H = 3 8 weeks X < 11Open point, to left

At most 45 favors

YES X = 1 Weekday: $5Weekend: $7.50

X ≥ 7, closed point, to right

At most 16 uniforms