Equations & Inequalities Mixed Practice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

WRITE AN EQUATION TO REPRESENT THE SITUATION

Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media, but is losing 25 followers a day.

• 400 - 75x = 1,000 + 25x

• 400 + 75x = 1,000 – 25x

• 400x - 75 = 1,000x + 25

• 400x + 75 = 1,000x – 25

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Which solutions satisfies the two linear equations?

• (0,0)

• (-1,3)

• (1,2)

• (-1,-2)

• (1,3)

WRITE AN EQUATION TO REPRESENT THE SITUATION

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.

• 2 + 7.50x = 8 + 6x

• 2 - 7.50x = 8 - 6x

• 2x + 7.50 = 8x + 6

• 2x - 7.50x = 8 x- 6

What is v?
-15v-40 = 23-8v

• v = 9
• v = -7
• v = -9

• Day 12

• Day 15

• Day 10

• Day 20

At Floor Clean, a buffer rents for $7 an hour plus a fee of $5. At EZ-Clean, it rents for $5 an hour plus a fee of $10. Which of the following is an inequality whose solution represents when it is cheaper to rent from EZ Clean?

• 5x+7<10x+5

• 5x+7>10x+5

• 7x+5<5x+10

• 7x+5>5x+10

-(8n - 2) = 3 + 10(1 - 3n)

• n = 1/2
• n = -1/2
• n = 2

Which of the following represents the inequality below?

Two more than four times a number is at most six less than three times the number.

• 4x+2 > 6-3x

• 4x+2 < 3x-6