7th Grade Quiz Review (Expressions, Equations, Inequalities)

Equivalent Expressions

100

Which of the following is NOT a Like Term 2x - 6x + 7y - 7x

7y - Becuase it has a different variable from the rest

200

Write an equivalent expression in simplest form: 3x + 7 + 2x - 5

5x + 2

300

Write an expression equivalent to: 7x-12+2-3x+1-10x

-6x-9

400

Write the expression in standard form by expanding and collecting like terms. 4(8m - 7n) + 6(3n - 4m)

4(8m - 7n) + 6(3n - 4m) 32m - 28n + 18n - 24m 32m - 24m - 28n + 18n 8m - 10n

500

The width of a rectangle is 3x. The length of the rectangle is 4x + 3. Express the perimeter of the rectangle in simplest form.

2(3x) + 2(4x + 3) 6x + 8x + 6 14x + 6

Distributive Property

100

Simplify the expression: 2(x - 3)

2x - 6

200

Simplify the expression: -3 (2x + 4)

-6x - 12 or -6x + (-12)

300

Distribute and Combine like terms: 2(14g + 22h)-12h

28g + 32h

400

Distribute and Combine Like Terms: -3y+4(2y+2)-1

5y+7

500

Distribute and Combine Like Terms: -3(2x+4)-2+7x-2x

-x-14

Solving Equations

100

Solve the Equation: 115 = 8x - 29

x = 18

200

Solve the equation: 42 = -43 - 5x

x = -17

300

Sally solved the equation 4n - 3 = -2n + 9 and got n = 2. Is she correct? Show your work to support your answer.

4n - 3 = -2n + 9 let n = 2 4(2) - 3 = -2(2) + 9 8 - 3 = -4 + 9 5 = 5 YES

400

Solve for x: -2(3-x)=24

x=15

500

Write and solve an equation for the following situation: Mike hired a lawn service to care for his yard. The service charges a flat rate of $25 plus $10 per hour. How many hours did the service charge Mike for if he paid $175?

25+10h=175 h=15 15 hours

Solving Inequalties

100

Is 4 part of the solution set for the inequality 3x <12. Explain your answer.

No because 3x4 = 12, and 12 is not <12. Therefore, 4 is NOT part of the solution set.

200

Solve the inequality: 3x - 2x + 1< 7

x < 6

300

Write an inequality to represent the following situation: Jackie starts a savings account with an initial deposit of $75 and deposits $15 per week after that. She wants to save AT LEAST $200 for a new bike. How many weeks will it take her to reach her goal?

75+15x is greater than or equal to 200

400

Write the inequality: The sum of three times a number and -4 is NO MORE than 7.

3x + (-4) is less than or equal to 7

500

Write an inequality: Two times the sum of a number and 5 is greater than 25.

2(x+5)>25

Word Problems

100

Maggie spent $4.05 on cheese and fruit. She bought 1/8 lb of apples, 1/4 lb of pears, and 1.25 lb of bananas. If fruit cost $0.80 per lb, how much did Maggie spend on cheese?

$2.75

200

Mile took a taxi from his home. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was $24. How many miles did Mike travel by taxi on this ride?

6 miles

300

How are the graphs for x < 5 and x> 5 similar?

They both start at 5, and both circles are NOT filled in. 5 is NOT part of the solution set.

400

Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers that costs $3.50. Write and solve inequality that could be used to determine the maximum number of bags of fruit.

15 >= 4.75b + 3.50

b <= 2

500

***DAILY DOUBLE***

A home-improvement store sold wind chimes for $40 each. A customer signed up for a free membership card and received a 8% discount off the price. Sales tax of 8% was applied after the discount. What was the final price of the wind chime?

$39.74