Honors Algebra 1 Unit 1 and 2 Review

Twice a number is 500 more than six times the number. What is the number?

• -125

• 100
• 125

• -25

Tags

CCSS.8.EE.C.7B

If 3 times a number is increased by 22, the result is 14 less than 7 times the number. What is the linear equation?

• 22-14=3x+7x

• 3x+22=14-7x

• 3x+22=7x-14

• 3x+14=22-7x

3x+22=7x-14, solve for x.

• x = 6

• x = 12
• x = 9

• x = 8

Carol and Cathy are each saving money for a vacation. Carol started with $25 and saves $7.50 a week. Cathy started with $10 and saves $10 a week. Write an expression with w representing the weeks till they have saved the same amount.

• 25+7.50x=10+10x

• 7.5+25x=10x+10

• 10+7.50x=25+10x

• 25x+10x=7.5+10

25+7.50x=10+10x

• x = 4

• x = 2
• x = 3
• x = 6

Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile. Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile. How many miles will a person travel in order to spend an equal amount of money using either service?

• 35 miles

• 15 miles
• 30 miles

• 25 miles

Tags

CCSS.8.EE.C.8C

Find three consecutive integers such that the sum of the first and the third is 40.

• 18, 19, 20
• 19, 20, 21
• 20, 21, 22
• 21, 22, 23

Tags

CCSS.8.EE.C.7B

The perimeter of a triangle is 73 inches. If the second side is 5 inches longer than twice the first side, and the third side is 4 inches less than three times the first side, how long is each side?

• First side: 15 inches, Second side: 35 inches, Third side: 23 inches
• First side: 20 inches, Second side: 25 inches, Third side: 28 inches

• First side: 12 inches, Second side: 29 inches, Third side: 32 inches

• First side: 16 inches, Second side: 33 inches, Third side: 24 inches

The cashier in a movie box office sold 200 more adult admission tickets at $11.00 each than children’s admission tickets at $8.00 each. What is the minimum number of each type of ticket that the cashier had to sell for the total receipts to be at least $5000?

• The cashier sold 200 adult tickets and 148 children's tickets

• The cashier sold 348 adult tickets and 148 children's tickets

• The cashier sold 348 adult tickets and 100 children's tickets

• The cashier sold 238 adult tickets and 122 children's tickets