Algebra Midterm Review

Identify the slope of the line going through these two points  $\left(-4,5\right)$   and

 $\left(4,1\right)$  

• -2

• 2

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Identify the slope of the line going through these two points  $\left(-6,-3\right)$   and

 $\left(-4,1\right)$  

• -2

• 2

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50 cents. Write a linear equation to represent the cost of going on x rides.

• y=5x+0.50

• y=0.50x+5

• x+y=5

• x+y=0.50

Jenn plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50.

A 1-gallon jug of milk contains 128 ounces and costs $3. Let n represent number of people in the club, m represent the ounces of milk, c represent the number of cookies, and b represent Jenn's budget in dollars.

Select all of the equations that could represent the quantities and constraints in this situation.

• m=12(15)

• 4(15)=c

• 4(4.50)=c

• b=2(3)+3(4.50)

Rebekah is making Valentine's day cards to make some extra money. The equation that represents how much money she has in her bank account is y=4x +22.

What does the 22 represent in the context of the problem?

• the number of cards she sells

• the amount she charges per card

• the amount of money already in her bank account

• the total amount of money she makes

Solve for x: $-8\left(x-1\right)-x\le-28$  

•  $x\le-4$  

•  $x\ge-4$  

•  $x\le4$  

•  $x\ge4$  

 $\frac{1}{2}\left(x-2\right)=\frac{1}{3}\left(2x-5\right)$  

Solve for x:

•  $x=2$  

•  $x=-2$  

•  $x=4$  

•  $x=-4$  

 $3x+2<11\ or\ 5x-8\ge12$  

Solve the following inequality.

•  $x<3\ or\ x\ge4$  

•  $x>3\ or\ x\le4$  

•  $x<-3\ or\ x\ge-4$  

•  $x>-3\ or\ x\le-4$  

 $3b+2<5b-6\le2b+9$  

Solve the following inequality:

•  $5\le b<4$  

•  $4<b\le5$  

•  $-5\le b<4$  

•  $-4<b\le5$  

Jeremy has $312 in his bank account. He earns $12 each week for w weeks. After w weeks he has d dollars in his bank account. Write an equation that represents the amount of money left, d, in his bank account after 9 weeks.

• $12\left(9\right)+312=d$

• $312\left(9\right)-12=d$

• $\frac{312}{12}+9=d$

• $312-12\left(9\right)=d$