Free Printable Algebra Midterm Review

1.

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

\left(4,1\right)

a)

-2

b)

2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

2.

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

\left(-4,1\right)

a)

-2

b)

2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

3.

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.

a)

y=5x+0.50

b)

y=0.50x+5

c)

x+y=5

d)

x+y=0.50

4.

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.

a)

m=12(15)

b)

4(15)=c

c)

4(4.50)=c

d)

b=2(3)+3(4.50)

5.

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?

a)

the number of cards she sells

b)

the amount she charges per card

c)

the amount of money already in her bank account

d)

the total amount of money she makes

6.

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

a)

$x\le-4$

b)

$x\ge-4$

c)

$x\le4$

d)

$x\ge4$

7.

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

Solve for x:

a)

$x=2$

b)

$x=-2$

c)

$x=4$

d)

$x=-4$

8.

$3x+2<11\ or\ 5x-8\ge12$

Solve the following inequality.

a)

$x<3\ or\ x\ge4$

b)

$x>3\ or\ x\le4$

c)

$x<-3\ or\ x\ge-4$

d)

$x>-3\ or\ x\le-4$

9.

$3b+2<5b-6\le2b+9$

Solve the following inequality:

a)

$5\le b<4$

b)

$4<b\le5$

c)

$-5\le b<4$

d)

$-4<b\le5$

10.

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.

a)

$12\left(9\right)+312=d$

b)

$312\left(9\right)-12=d$

c)

$\frac{312}{12}+9=d$

d)

$312-12\left(9\right)=d$

11.

Which of the following is a rearrangement of

A=\frac{\left(b_1+b_2\right)\cdot h}{2}

a)

$h=\frac{A+\left(b_1+b_2\right)}{2A}$

b)

$h=\frac{2A}{\left(b_1+b_2\right)}$

c)

$h=2A\left(b_1+b_2\right)$

d)

$h=\frac{A\left(b_1+b_2\right)}{2}$

12.

Select all of the equations that solve correctly for the given variable.

R=\frac{Pt+v}{3}

a)

$t=\frac{3R-v}{P}$

b)

$P=\frac{3Rv}{t}$

c)

$v=3R-Pt$

d)

$P=\frac{R-v}{3t}$

Algebra Midterm Review

Total questions: 12

Worksheet time: 2hrs 48mins

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