Algebraic Expressions
Linear Equations
Geometric Solids
Rational Expressions
Radicals
Part of Whole
Angles and Triangles
Miscellaneous
100
Which property?
6/7 * 7/6 = 1
Inverse Property of Multiplication
100
Solve:
2x+8/11=9/7
43/154
100
Find the exact volume of a cylinder of radius 5 cm with height 8 cm.
200pi " cm"^3
100
Find the LCM of:
12x^3y, 10xy^4, and 15
60x^3y^4
100
Simplify:
root(3)(-27)+root(4)(16)-sqrt(169)
-14
100
"What is " 5/8 " of " 320?
200
100
If two sides of a triangle measure 14 inches and 10 inches, the third side must be longer than _____ inches and shorter than ____ inches.
4, 24
100
Find the GCF of:
12x^3y, 10xy^4, and 15
1
200
Translate: Five less than the product of 3x and y
3xy-5
200
Solve for y:
0.2y - 3.48 = 0.52
y=20
200
Find the surface area of the triangular prism shown:
144 " cm"^2
200
Assume non-zero denominators and rearrange to a single, simplified fraction with positive exponents and no parentheses:
(xy^-1)/y+y^-2/y^-1
(x+y)/y^2
200
Simplify:
5sqrt45-7sqrt12
15 sqrt 5 - 14 sqrt 3
200
Solve the proportion:
3/4=(x+2)/6
x = 5/2
200
Three angles of a triangle measure (3x + 9), (5x + 12), and (82 - x) degrees. Find the sum of the smallest and largest angles in the triangle.
113 degrees
200
Give the equation of a vertical line passing through (-3,5).
x = -3
300
Simplify:
-abs((-sqrt(root(3)(68-2^2))))-20div5*4+8^0-3^2
-26
300
Solve for q:
3q-5r+2=r-3
q=(6r-5)/3
300
Find the exact volume of a sphere with diameter 18 meters.
972pi " m"^3
300
Assume non-zero denominators and rearrange to a single, simplified fraction with positive exponents and no parentheses:
((a-b)/c)/((a+b)/a)
(a^2-ab)/(ac+bc)
300
Simplify:
sqrt(112)*sqrt(63)
84
300
In each group at a children's summer camp, the ratio of 5-year-olds to 6-year-olds to 7-year-olds is 2:3:4. If there are a total of 108 campers, how many campers are 7 years old?
48
300
Name the positions of angles 1 with 3, 1 with 5, 1 with 7, 3 with 5, and 4 with 5. Then state whether each pair is congruent or supplementary.
1 and 3 are vertical and congruent angles.
1 and 5 are corresponding and congruent angles.
1 and 7 are alternate exterior and congruent angles.
3 and 5 are alternate interior and congruent angles.
4 and 5 are consecutive interior and supplementary angles.
300
Find three consecutive even integers such that when the second is subtracted from five times the sum of the first and third, the result is twelve less than six times the first.
-10, -8, and -6
400
Simplify:
1/(-(-5)^-3
125
400
"Find " -x^2 + 5 if 3x+10=6(x+4)-(x + 6)
-11
400
A spherical scoop of ice cream with diameter 10 cm is placed in a right cone of height 12 cm, leaving the top half of the scoop exposed. Find the exact surface area of the composite solid.
115pi " cm"^2
400
Assume non-zero denominators and rearrange to a single, simplified fraction with positive exponents and no parentheses:
4/(r-3)-7/r^2
(4r^2-7r+21)/(r^3-3r^2)
400
Simplify:
sqrt(162,000,000,000)
180,000sqrt5
400
Theodora and Fauntleroy each had 420 Pokemon cards. If Theodora sold 20% of hers and Fauntleroy sold 3/4 of his, how many did they have remaining if they combined what they kept?
441
400
Find the area of an isosceles triangle with base 32 mm and legs each 34 mm.
480 " mm"^2
400
If a coat with original cost $x goes on sale for 20% off and then an additional 40% off, what is a formula for the final cost?
0.48x " dollars"
500
Simplify, assuming a non-zero denominator:
(-3x+6)/(2-x)
3
500
"Write "0.5bar(74) " as a simplified fraction."
569/990
500
Simplify:
((8*10^3)(0.00005)(20*10^-4))/((0.00016)
5
500
Assume non-zero denominators and rearrange to a single, simplified fraction with positive exponents and no parentheses:
(ma^-1-nb^-1)/(b^-1)
(bm-an)/a
500
Simplify:
(3sqrt2+5)/sqrt98
(6+5sqrt2)/14
500
Each TSLA stock grew in value from $430.25 to $3,528.35 in the year 2020. What % growth was this? Round to the nearest whole percent.
720% growth
500
"If " bar(AB)~=bar(CB) " then "DeltaABE~=Delta "______ by ______."
CBD by ASA.
500
State the color of the median, altitude, and angle bisector of the triangle shown:
median: black
altitude: green
angle bisector: red