Expressions & Equations
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Linear Equations
Inequalities
Quadratics
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100
The formula for the surface area of a right rectangular prism is A=2lw+2hw+2lh , where l, w, and h represent the length, width, and height, respectively. Which term of this formula is not dependent on the height?
2lw
100
The following conversion was done correctly:
What were the final units for this conversion?
inches per minute
100
What is the equation of a line that passes through the point (-2,-8) and has a slope of 3?
y=3x-2
100
Determine if the point (0,4) is a solution to the system of inequalities graphed below. Justify your answer.
No, because the point (0,4) does not satisfy the inequality.
100
A swim team member performs a dive from a 14-foot-high springboard. The parabola below shows the path of her dive.
Which equation represents the axis of symmetry?
x=3
100
Which expression is equivalent to (-4x^2)^3 ?
-64x^6
200
What is the constant term of the polynomial?
5
200
The formula C=5/9(F-32) can be used to find the Celsius temperature (C) for a given Fahrenheit temperature (F). What temperature represents 15°C in degrees Fahrenheit?
59°C
200
What equation represents the line that passes through the coordinates (2,0) and (0,3)?
y=-3/2x+3
200
When
3x+2le5(x-4)
is solved for x, the solution is:
11lex
200
Three quadratic functions are given below.
Which of these functions have the same vertex?
I and III, only
200
Which expression represents (3x^2y^4)(4xy^2) in simplest form?
12x^3y^6
300
What is the leading coefficient when written in standard form?
3x^2+7x-6+2x^3
2
300
If the speed of sound is 344 meters per second, what is the approximate speed of sound, in meters per hour?
1,238,400
300
The point (3,w) is on the graph of y=2x+7. What is the value of w?
w = 13
300
Which inequality is shown on the accompanying graph?
xge-1
300
What is the solution set of the equation
(x-2)(x-a)=0
2 and a
300
The expression (m-3)^2 is equivalent to
m^2-6m+9
400
When solving the equation 4(3x^2+2)-9=8x^2+7 , Emily wrote 4(3x^2+2)=8x^2+16 as her first step. Which property justifies Emily's first step?
Addition Property of Equality
400
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end
of the month, what linear equation can be used to determine a user's monthly bill?
c=60+0.05d
400
What is the equation of the line that passes through the points (3,-3) and (-3,-3)?
y=-3
400
Solve algebraically for x:
2(x-4)ge1/2(5-3x)
xge3
400
The solutions to
(x+4)^2-2=7
are:
x=-1,-7
400
What is the sum of -3x^2-7x+9 and -5x^2+6x-4 ?
-8x^2-x+5
500
The formula for converting degrees Fahrenheit (F) to degrees Kelvin (K) is: K=5/9(F+459.67) . Solve for F, in terms of K.
F=frac{9K-2298.35}{5}
500
A blizzard occurred on the East Coast during January, 2016. Snowfall totals from the storm were recorded for Washington, D.C. and are shown in the table below.
Which interval, 1 a.m. to 12 noon or 6 a.m. to 3 p.m., has the greater rate of snowfall, in inches per hour?
The interval 1 a.m. to 12 noon has the greater rate.
500
Sandy programmed a website's checkout process with an equation to calculate the amount customers will be charged when they download songs. The website offers a discount. If one song is bought at the full price of $1.29, then each additional song is $.99. State an equation that represents the cost, C, when s songs are downloaded. Sandy figured she would be charged $52.77 for 52 songs. Is this the correct amount?
The equation: C=1.29+.99(s-1)
No, because C=1.29+.99(52-1)=51.78
500
Mrs. Smith wrote "Eight less than three times a number is greater than fifteen" on the board. If x represents the number, what inequality is a correct translation of this statement?
3x-8gt15
500
Solve 6x^2-42=0 for the exact values of x.
x=+-sqrt7
500
The expression 3(x^2+2x-3)-4(4x^2-7x+5) is equivalent to
-13x^2+34x-29
600
Solve the equation below for x in terms of a.
4(ax+3)-3ax=25+3a
x=frac{13+3a}{a}
600
An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t)=0.8t^2 . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
12
600
Line L contains the points (0,4) and (2,0). Does the point (-25,81) lie on line L? Why or why not?
No! It does not because the equation of line L is y=-2x+4 and if you use substitution the equation does not work.
600
On June 17, the temperature in New York City ranged from 90° to 99°, while the temperature in Niagara Falls ranged from 60° to 69°. The difference in the temperatures in these two cities must be between:
20° and 40°
600
Use the quadratic formula to solve x^2-4x+1=0 for x. Round your solution to the nearest hundredth.
0.27 and 3.73
600
Given:
A=x+5
B=x^2-18
Express A^2+B in standard form.
2x^2+10x+7