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Number Sense
Algebra
Data Analysis
Geometry
Misc.
100
Between what two consecutive numbers does the square root of 133 lie?
Between 11 and 12 The square root of 133 is approximately 11.53256... (an irrational number).
100
Solve. 6x + 3 = 4x - 11
x= -7 Get variable terms on the same side first, then isolate the variable. On a multiple choice test, plug each answer choice into the equation for x and make sure both sides are equal.
100
What is the slope of the line whose equation is y=-5x+7?
-5 In slope-intercept form of a line, the slope is the value in front of the x. y=mx + b
100
What happens to the angles when you dilate a figure to create a similar figure?
Nothing, they stay the same. In similar figures the corresponding side lengths are proportional according to the particular scale factor; the angle measures don't change. Scale factor more than 1 the figure is an enlargement, scale factor less ths 1 the figure is a reduction.
100
What is the value of 7^3 x 7^5? (in exponential form)
7^8 When multiplying powers with the same base, add the exponents.
200
A square floor tile has an area of 196 square inches, what is the length of one side of the tile?
14 inches To find the side length, take the square root of the area of the square. 14 x 14 = 196
200
Where will the graphs of y= 5x + 30 and y = 10x + 20 intersect?
(2,40) Use substitution to set 5x + 30= 10x + 20 and then solve for x. After finding the value of x, plug that into one equation or the other to find the value of y. Write as an ordered pair. (x,y)
200
Explain how to graph the equation y= 1/3x - 5 using the slope and y-intercept.
Plot the y-intercept (-5) on the y-axis. From that point look at the slope (1/3) and move up 1 and right 3 to plot a second point. Connect the points.
200
Find the hypotenuse in a right triangle with legs of 5cm and 8cm.
about 9.4 cm Use the Pythagorean Theorem. Use 5 and 8 for the a and b values since they represent the legs in the triangle.
200
What is the value of 2^-4? (in fraction form)
1/16 Turn that frown upside down- flip the number over to turn the negative exponent into a positive exponent. Then simplify.
300
The density of helium is 1.664 x 10^-4. What is the density of helium written in scientific notation?
0.0001664 The exponent of -4 tells you to move the decimal point in 1.664 four spaces to the left.
300
Jamal's test has 2 essay questions worth 12 points each, and the rest of the questions are worth 4 points each. The questions are worth 100 points altogether. How many questions are worth 4 points each?
19 questions 2(12) + 4x = 100 or 24 + 4x=100 Solve for x.
300
Describe how to tell if a relationship is linear or nonlinear based on... a) a graph b) an equation c) a table
a) A linear graph will be a straight line. b) A linear equation will have x, but never x to a power or x on the bottom of a fraction. c) In a linear relationship, you will see a constant rate of change in both the x-values and the y-values.
300
If you translate the point (3, -4) to the right 5 spaces and up 3 spaces, what are the coordinates now?
(8, -1) The first coordinate is the x-coordinate so moving to the right would increase the first number by 5. The second coordinate is the y-coordinate so moving up would increase the second number by 3.
300
The county fair charges a $8 entrance fee. The cost of each ride is $2. Write an equation to represent the cost (y) of getting into the fair and going on x number of rides.
y=2x+8 8 is the one-time fee or the point where your graph would start on the y-axis- the y-intercept. Even if you don't ride anything you at least pay $8. 2 is the slope and tells you the rate of change. The cost increases by $2 every time the rides increase by 1.
400
A light year is 5.88 x 10^12 miles. The closest star system is 4.3 light years from earth. What is this distance in scientific notation?
2.5284 x 10^13 Multiply.
400
Laura graphed a system of equations and then stated that there was no solution to the system. Assuming Laura was correct, which of the following could have been the system? a. x=3 and y=3 b. x+y=0 and 2x+y=0 c. y=4x-9 and y=2x-9 d. y=1/2x+12 and y=1/2x+4
d. They have the same slope. They will never intersect; therefore no solution.
400
Explain how you would find the y-intercept in a relationship when... a) looking at a graph. b) looking at an equation. c) looking at a table.
a) Find the value where the line crosses or meets the y-axis. b) Look at the value for b when the equation is written in slope-intercept form: y=mx+b. c) Look for the value of y when x=0; work the table backwards if necessary.
400
What is the volume of a soup can with a height of 5 inches and a diameter of 3 inches? Use 3.14 for pi.
35.325 cubic inches Use the formula for the volume of a cylinder and make sure you use the value of half of the diameter for the radius in the formula.
400
Find the solution to this system of equations. y=-2x+3 y= x
(1,1) Use substitution to set -2x+3=x and solve for x. After finding the value of x, substitute it into one of the equations to find the y value. Write solution as an ordered pair.
500
Which of the following numbers is rational... 7/11 the square root of 80 0.345.... the square root of -3
7/11 All fractions are rational. 7/11 can also be written as the repeating decimal 0.63636363... which is rational.
500
Which expression can be used to find the nth term in this sequence? (Write a rule.) Position (n) 1 2 3 4 n Value 6 11 16 21
5n + 1
500
What is the slope of a line that passes through (2,6) and (-2,3)?
3/4 Find the difference in the y-values (subtract 6-3) and the difference in the x-values (2--2) and write this as a ratio 3/4. or *Plot the two points on a coordinate grid and count the rise over run!
500
Two angles that together form a straight line are called ________________________ angles. If one angle measures 75 degrees, the other must measure ________ degrees.
Supplementary 105 degrees To find the supplementary angle, subtract the one you know from 180 degrees.
500
If I fill a cone with water and then pour the water into a cylinder with the same size base, how many times will I have to do this to completely fill the cylinder?
3 The volume of a cone is 1/3 of the volume of a cylinder with the same base.