Number Sense
Simplify: 4-3 x 43
Solve for x.
x/3 + 5 = 25
60
Are the following points a function or a relation?
(-6, -6), (-3, -3), (0, 0), (-3, 3), (-6, 6)
Relation
Point A is located at (-7, -4). It is rotated 90 degrees clockwise about the origin. What is the coordinate of A'?
(-4, 7)
What could be the total number of solutions to a system of equations that have the same slope and different y-intercepts?
No Solution
The distance between Earth and the Sun is approximately 93,000,000 miles. What is the distance written in scientific notation?
9.3 x 107
Solve for x.
7(4 - 2x) = 3(10 - 6x)
0.5
Would the following points create a linear or nonlinear function?
(0, 2), (1, 4), (2, 8), (3, 16), (4, 32)
Nonlinear
A triangle has side lengths of 4, 6, and 8 cm. Do the side lengths form a right triangle?
No
Write an equation for a non-linear function.
Example: y = x2 - 3
Simplify and write in exponential form: 2-6 / 2-2
1/24
0.5(7 - 5x) = 6 - (2x + 8)
11
Compare the initial value of the following functions:
Function 1: y = 3x - 4
Function 2: y = -3x + 4
Function 2 has a greater initial value.
The legs of a right triangle are the square root of 17 and the square root of 8. What is the length of the hypotenuse?
5
What type of correlation describes the following situation:
The amount of rainfall and the amount of ponchos sold at a baseball game.
Positive correlation
A companies profit of $1.71 x 106 will be shared equally by its 950 employees. How much money will each employee receive? Write you answer in scientific notation.
$1.8 x 103
Solve the following system:
y = 3x - 2
y = -2x + 3
(1, 1)
What is the slope that passes through the points (1, 3) and (5, 5)?
0.5
Points (0, 0) and (5, 12) are on the xy-coordinate plane. What is the distance between the two points?
13
The square root of 10 is between what two tenths?
3.1 and 3.2
One type of ant weighs about 2.5 x 10-3 gram. The ant can cary close to 1 x 10-1 gram of food on its back. The amount of food, in grams, an ant can carry on its back is approximately how many times its own body weight, in grams? Give your answer in standard form.
40 times greater
Solve the following system of equations:
x + y = 6
2x + 2y = 1
No Solution
Compare the rate and y-intercept of the functions:
Function A: twice the value of x plus three.
Function B: y=3x - 2
Function B has a greater rate and Function A has a greater y-intercept.
Line segment FG begins at point F(-2, 2) and G(3, 2). The segment is translated by (x - 3, y + 2) and then reflected over the x-axis to form F'G'. What are the coordinates of F'G'?
F' (-5, -4) and G'(0, -4)
Point A (1,1) is reflected over the y-axis and then dilated by a scale factor of 0.5 to form the point A'. What is the coordinate of A'?
A' (-0.5, 0.5)