Algebra Basics
Inequalities
Polynomials & Quadratics
Desmos
Miscellaneous
100
Which of the following tables represents a function?
Table 3
100
If the inequality sign looks like so: < or >. Will the circle be open or closed?
Open
100
What are the solutions to the equation 2x2+5x+3=0?
x = {-3/2, -1}
100
What is the solution set to x2−2x−8?
a. (-2, 4)
b. {-2, 4}
c. (2, -4)
d. {2, -4}
b. {-2, 4}
100
What is the solution to 3(2x-1)=3
x = 1
200
What is the slope of the line represented by the equation y=6x−1?
6
16
-1
-6
6
200
If the inequality sign looks like so: ≥ or ≤ . Will the circle be open or closed?
Closed
200
When completely factored, x2+x−12 equals _______
(x+4)(x−3)
200
Which graph best represents the function y=-4/3x+2 ?
200
Which expression correctly represents 10 less than twice a number?
a) 10−2+n
b) 10−2n
c) 2n−10
d) n2 −10
c) 2n−10
300
What is the value of mn/r2 if m=7, n=18 and r=6?
3.5 or 7/2
300
Solve: 6x-11-13x < 7-5x
x > -9
300
Simplify (2a+3b−2c)+(3a−4b−c)+(a−5b+4c)
6a−6b+c
300
What is the solution to this system of equations?
y=x+6
y=-3x+22
(Hint: It is one single point!)
(4, 10)
300
Frank works at a convenience store. He earns $7.50 per hour when he works during the day. He earns $12.50 per hour when he works at night. He wants to earn at least $300 per week. If Frank can only work during the day next week, how many hours must he work?
40 hours
400
What could be the equation for f(x) if f(2)=13?
a) f(x)=x+x2
b) f(x)=x2+8
c) f(x)=3x2+1
d) f(x)=2x3+5
c) f(x)=3x2+1
400
Solve: -(x+4)-2 > 2x+6
x < -4
400
Which expression is equivalent to -4a(3a−5b)?
a) -12a2+20a
b) -12a2+9ab
c) -12a2+20ab
d) -12a2−20ab
c) -12a2+20ab
400
What is the RANGE of the function f(x)=-x2+4x-1 ? (Graph it in Desmos)
a) all real numbers greater than or equal to 2
b) all real numbers greater than or equal to 3
c) all real numbers less than or equal to 2
d) all real numbers less than or equal to 3
c) all real numbers less than or equal to 2
400
What is the solution to this system of equations?
5x + 4y = 22
3x + 4y = 10
a) x = 2, y = 0
b) x = 2, y = 1
c) x = 2, y = 3
d) x = 6, y = -2
d) x = 6, y = -2
500
One competitor in a 100-mile bicycle race took a total of 5 hours to complete the course. His average speed in the morning was 23 miles per hour. His average speed in the afternoon was 13 miles per hour. How many hours did he ride in the morning, and how many hours did he ride in the afternoon?
Morning - 4 hours, afternoon - 1 hour
Morning - 2.5 hours, afternoon - 2.5 hours
Morning - 3 hours, afternoon - 2 hours
Morning - 3.5 hours, afternoon - 1.5 hours
Morning - 3.5 hours, afternoon - 1.5 hours
500
Solve: -2(y + 3) ≤ 10
y ≥ -8
500
What is the greatest common monomial factor of 3x3+6xy+9x2+12x2y2 ?
3
3x2y2
3xy
3x
3x
500
A coach recorded the time it took seven children of different ages to run one lap around the track.
Using a linear equation of best fit, which is closest to the amount of time you would estimate a 6-year-old would take to run one lap?
170 sec 200 sec
140 sec 185 sec
200 seconds
500
Hooke's law states that the force required to stretch a spring varies directly with the distance the spring is stretched. If a 10-pound force stretches a spring 2 inches, what force is required to stretch the spring 5 inches?
25 pounds