Solving Equations
Systems of Equations
Various Topics
Linear Equations
Slope
100
Solve 4x2+11x - 3 = 0
a. x=-3/4 and x=-1
b. x=1/4 and x=-3
c. x=4 and x=3
d. x=-1/4 and x=3
b. x=1/4 and x=-3
100
What is the solution to the following system? 3x+2y=16
7x+y=19
a. (-2, 5)
b. (-2, -5)
c. (2, -5)
d. (2, 5)
d. (2, 5)
100
Evaluate.
f(-2), if f(x)=x2+3
a. -1
b. 1
c. 7
d. -7
c. 7
100
What is the zero to the equation?
2y=10x+14.
a. 4
b. 1.4
c. -4
d. -1.4
d. -1.4
100
Find the slope of the line.
5x+2y=10
a. 5/2
b. -2/5
c. 5
d. -5/2
What is d. -5/2
200
2(2x+3)= -6(x+9)
a. 1.2
b. 6
c. -6
d. 7.5
C. -6
200
Give the solution to the system.
y=2x+1
-2x+y=1
a. No solution
b. (0,1)
c. Infinitely Many Solutions
d.(-1, -2)
c. Infinitely Many Solutions
200
Which of the following expressions is equivalent to the following expression?
(5x2 - 3x + 4)+(6x - 3x2 - 3)
a. 3x2+2x+1
b. 2x2+3x+1
c. 2x2+5x - 7
d. 3x2+4x5 -7
b. 2x2+3x+1
200
Which of the following equations has a slope of 5/4 and a y-intercept of 2.
a. 5x + 4y = -8
b. 5x - 4y = 8
c. 5x - 4y = -8
d. 5x - y = -17
c. 5x - 4y = -8
200
Find the slope of the line that passes through:
(2, 4) and (6, 12)
a. 1/2
b. -1/2
c. 2
d. -2
c. 2
300
What is the solution below?
a. (2, 3)
b. (5, 0)
c. (2, -1)
d. (5, 2.5)
c. (2, -1)
300
Victor starts a lawn care business. The system below shows how much money he can make with two plans.
y=5x + 20
y=3x + 30
If "x" is the number of hours and "y" is the total money, how many hours will it be for him to make the same amount.
a. 1 hour
b. 3 hours
c. 5 hours
d. 7 hours
C. 5 hours
300
Evaluate.
f(-4), if f(x)=-x2-3x+5
a. -1
b. 1
c. -187
d. 187
What is b. 1
300
Find the y-intercept.
5x+2y=10
a. 2
b. -2
c. -5
d. 5
d. 5
300
What is the slope of 5x+6y = 10
a. 1/3
b. -1/3
c. 3
d. -3
b. -1/3
400
Which of the following are the root/s to the following equation?
2x2 - 4x -12 = 4
a. x = -2
b. x = 2, x = 4
c. x = 4
d. x = -2, x = 4
What is d. x = -2, x = 4
400
Hunter has a jar of 368 nickels and dimes. He has a total of $28.40. Write the equations that would represent the number of nickels and dimes he has.
a. n + d = 368 and 5n + 10d = 28.40
b. n + d = 368 and .05n + .10d = 28.40
c. n + d = 28.40 and .05n +.10d = 368
b. n + d = 368 and .05n + .10d = 28.40
400
Evaluate the expression f(x) = 2x2 - 9x - 35 when x=2.
a. 45
b. 2
c. -2
d. -45
d. -45
400
Write an equation perpendicular to y=-4/5x going through the point (-4, -3).
a. y = -4/5x +2
b. y = 5/4x + 2
c. y = -5/4x +2
d. y = 4/5x +2
b. y = 5/4x +2
400
Mary decided to join a gym. There was an initial fee of $50 and a payment of $20 per month. What is the rate of change?
a. 50
b. 30
c. 80
d. 20
d. 20
500
If 4.1 is a solution to the equation
2x2 - 4x = 2x + 9, find the negative solution.
A). -1.1
B). -3.1
C). -2.1
D). -4.1
What is A). -1.1
500
What is the x-coordinate of the solution of the following system of equations?
2x + 3y = 4
x - y = -3
a. -13
b. 2
c. 1
d. -1
d. -1
500
In the quadratic function,
j(x) = x2 - 5x - 3, identify the y-intercept.
( 0, -3 )
500
Y is 16 when x is 4. If x and y vary directly, find x when y=12.
a. 1
b. 3
c. 8
d. 5
What is b. 3
500
What is the slope of y=5x+10?
A). 5
B). -5
C). 2
D). 10
A). 5