Simplify
5^4/5^3
5
What is the solution to this graph
(3,-2)
Is the following a function
x y
1 1
3 1
5 6
7 6
The chart is a function
On the coordinate plane shown, AB is a vertical segment with a length of 5 units. If A′B′ is the image of AB after a rotation, which must be true about A′B′?
A'B' is 5 units long
Solve x^2=36
6, -6
Simplify (5^6)^4
5^24
Line tt and △ECA△ECA and △FDB△FDB are shown on the coordinate plane.
What is the slope of the line
The slope is 1/2
A survey of 7th and 8th grade students asked whether they were in favor of or against school uniforms. The two-way table shows the results.
To the nearest tenth of a percent, what percent of the 7th grade students were in favor of wearing school uniforms?
42.9 percent of 7th graders were in favor of wearing school uniforms
Polygon KLMN is the image of polygon PQRS after a 180°180° rotation.
Which angle of polygon KLMN is congruent to ∠S?
Angle N is congruent to Angle S
What fraction is equivalent to 0.4 repeating?
4/9
Solve
(5^4*5^4)^-1/5^-6
1/25
A car manufacturer provided information about two different car models.
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the graph and table, car A can travel how many times the distance car B can travel when both cars use 1 gallon of gas? Write your answer as a decimal.
Car A can go 1.25 times as far as car B
The owner of a canoe-rental shop is comparing the average monthly rainfall, in inches, to the number of canoe rentals per month. The data are shown in the scatter plot.
Describe the graph. Is the association linear and is it positive or negative? Are there outliers
The graph has a negative linear relationship with a single outlier
ΔPQR is transformed to the image ΔP′Q′R′.
Complete the sentence by filling in the blanks
The transformation is a ________ ___________. Triangle PQR is _______ to triangle P'Q'R'
The transformation is a reflection across the line. Triangle PQR is congruent to triangle P'Q'R'
The length of the diagonal of a rectangle is √181 inches.
Between which 2 integers is the diagonal?
The body of a 154-pound person contains approximately 2×10^−1 milligrams of gold and 6×10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
There is approximately 300 times more aluminum than gold
Solve
−2(11−12x)=−4(1−6x)
There is no solution
The equation shown is a model developed by a researcher, where x represents the height, in inches, of a 36-month-old boy, and y represents his maximum height, in inches, as an adult.
y=3.5x−60
A 36-month-old boy has a height of 36 inches. Based on the model, what is his expected height, in inches, as an adult?
The boy should be 66 inches
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations.
What pair of transformations turned figure 1 into figure 3
A dilation followed by a reflection across the y-axis
The length of the diagonal of a rectangle is √181 inches.
Approximate the length of the diagonal
The diagrams shown are the top views of two pools used for swimming laps.
Lap Pool A has lanes for 3 swimmers and Lap Pool B has lanes for 10 swimmers. The lap pools have the same uniform depth. Lap Pool B contains approximately 6.6×10^5 gallons of water. How many gallons does Lap Pool A have
Lap Pool A has 9.9*10^4 gallons
A system of equations is shown.
x=10
3x+5y=20
Solve the system
(10,-2)
The equation shown is a model developed by a researcher, where x represents the height, in inches, of a 36-month-old boy, and y represents his maximum height, in inches, as an adult.
y=3.5x−60
Bill and Ryan are adult males. Bill is exactly 10.5 inches taller than Ryan. Based on the model, how many inches taller was Bill than Ryan when they were 36 months old?
Bill was 3 inches taller than Ryan at 36 months
Line JM is parallel to line KL. The measure of angle KLM is 65°. Kevin states that he can determine the measures of all four interior angles from only the information given.
Is Kevin correct? Why?
Kevin is incorrect because it has not been proven that JK is parallel to ML
Approximate to 2 decimal places
4x^2-5x-2=3(x+5)-8x+3
2.2