Algebra 1: Midterm Review

Evaluating Expressions

100

What is the value of the expression 3(x + 4) – 2y if x = 5 and y = -3?

24

200

What is the value of the expression (6x-3y)/xy if x = 6 and y = -4?

-2

300

What is the value of the expression (x^2 - y^2)/4 if x = 5 and y = 1?

6

400

What is the value of the expression (4x-5y)/(2y) if x = -6 and y = 2?

-17/2

500

What is the value of the expression (x^2 - y^2 - z^2) if x = 2, y=-3 and z = -4?

-21

Find X

100

(1/3)x - 6 = 15

x = 63

200

7x - 5 = 2x + 5

x=2

300

5(x-5) = 3(x+1)

X=14

400

(7/x) = 14/30)

X = 15

500

(x+4)/2 = x/5

X = -20/3

Slope

100

What is the slope of the line with the equation y-2x-1

m=2

200

What is the slope of the line with the equation Y+5x=8

m=-5

300

What is the slope of the line with the equation 4x - 2y = 10

m=2

400

What is the slope of the line that passes through the points (5,0) and (10,0)

0

500

What is the slope of the line that passes through the points (-3, -5) and (4, -2)

m= 3/7

Systems

100

x + 2y = 5 and 3x+ 2y = 7. What (x,y) pair is a solution?

(1,2)

200

x + y =5 and x - y = 3. What (x,y) pair is a solution?

(4,1)

300

4x - 3y = 10 and x - 4y = -7. What (x,y) pair is a solution?

(1, -2)

400

What is the solution to the system of equations: 2x + 5y = 8 and 6x + 4y = -20

(-6,4)

500

What is the solution to the system of equations: 2x - 7y = 0 and x - 6y = -5

(7,2)

Words

100

Julie spent $132 to buy movie tickets for 20 students and 4 adults. Adult tickets cost $3 more than student tickets. If “a” is the price of an adult ticket and “s” is the price of a student ticket, what system of linear equations could be used to find the price of each adult and student ticket?

a = s + 3 and 4a + 20s = 132

200

Four times one number equals three times a second number. The first number is 4 more than the second number. What are the numbers?

 -12 and -16

300

Ellen’s Bike Shop sells two models of bicycles. One sells for $120 and the other for $100. She sold 13 bicycles and made $1460. How many of each model were sold?

8 and 5

400

Briar Woods Theater charges $3 for a student ticket and $5 for an adult ticket. They sold 190 tickets for a total of $782. How many student tickets were sold?

93 student tickets

500

E Block Math scored badly on their test. 1/3 of the students scored 30% and others scored 50%. The average grade was 48.333... (48 1/3). How many students are in E Block Math, in this scenario?

48 students are in E Block Math. 48 students who are all failing.