Midterm Review - No calculator

1. As a favor to her friend, Natasha worked 7 hours at a diner for $10 per hour last week. She also makes $8 per hour when she babysits. She wants $206 for a prom dress. Create an inequality to show how many hours she must babysit.

• 7*10+8X>=206
• 8*10+7x >=206
• 7*10+8X<=206
• 8*10+7x <=206

George makes $5 per autograph, (a), and $8 per hour working as an actor (c) at a local theater. He needs $730 for rent. Create an inequality to show how much he needs from each source of income to have enough for rent. 

• 5a + 8c <=730
• 5a + 8c <730
• 5a + 8c >=730
• 5a + 8c >730

2. George makes $5 per autograph, (a), and $8 per hour working as an actor (c) at a local theater. He needs $730 for rent. Create an inequality to show how much he needs from each source of income to have enough for rent. 

• 5a + 8c <=730
• 5a + 8c <730
• 5a + 8c >=730
• 5a + 8c >730

see question 3

• r =2/5b
• r = 5/2b

Tags

CCSS.6.EE.C.9

4a) Write an equation in Slope-Intercept Form for each of the following lines shown on the graphs.
 

• y =1/2x-1
• y = 2x - 1 
• y = 2x - 1
• y = -1/2x -1

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

4b) Write an equation in Slope-Intercept Form for each of the following lines shown on the graphs.

• 2x +2 
• -1/2 + 2
• -2x + 2
• 1/2x +2

5. Bart wants to rent a car. The fee is $25 plus $0.55 per mile. He has budgeted $212 for the car. Write an inequality to show how much he can spend for the car.

• 25 + .55x >= 212
• 25 + .55x <= 212
• 25 + .55x > 212 
• 25 + .55x < 212

Tags

CCSS.7.EE.B.4B

6a. Solve the following equations and explain each step using appropriate Properties.  
 5(4x − 3) − 18 = 7

• 20x -15-18 =7 distributive property
  20x-33 =7 combine like terms
  20x = 40 addition property
  x = 2 division  property
• 20x -15- 18 = 7 combine like terms
  20x-33=7 subtraction property
  20x=40 addition property
  x =2 simplfy
• 20x-15-18= 7 Distributive property
  20x-33 = 7 combine like terms
  20x -33+33 = 7+33 addition property
  20x/20 =40/20 division property
  x = 2  simplfy

Tags

CCSS.HSA.REI.A.1

6c. Solve the following equations and explain each step using appropriate Properties. 
−4(3x + 6) + 6 = −30 

• -12x -24 + 6 = -30  Distributive Property
  -12x -18 = -30 Combine Like terms
  -12x -18 -18 = -30 - 18 Subtraction Property
  -12x / -12 = -48 /-12 Division Property
  x = -4 Simplify
• -12x -24 + 6 = -30 Distributive Property
  -12x -18 = -30 Simplify
  -12x -18 + 18= -30 + 18 Addition Property
  -12x / -12 = 12 / -12 Division Property
  x = -1 Simplify
• -12x -24 + 6 = -30 Distributive Property
  -12x -18 = -30 Combine Like Terms
  -12x -18+ 18 = -30 + 18 Addition Propert y
  -12x / -12 = -12 / -12 Division Property
  x = 1 Simplify

Tags

CCSS.HSA.REI.A.1

Write an inequality in standard form
see question 7a

• x-2y>0
• x+2y<0
• y <1/2x 
• y >1/2x