WorksheetsKeystone Review
Total questions: 48
Worksheet time: 30mins
What is the value of x in the equation 2x + 5 = 15?
4
5
10
2
Which expression is equivalent to (x + 3)(x - 2)?
x² + x - 6
x² - 6x + 5
x² + x + 6
x² - x - 6
What is the solution to the inequality 3x - 4 > 8?
x > 4
x < 4
x > 12
x < 12
Which ordered pair is a solution to y = 2x - 1?
(0, -1)
(1, 2)
(2, 2)
(3, 5)
Factor: x² + 7x + 12
(x + 3)(x + 4)
(x - 3)(x + 4)
(x - 4)(x - 3)
(x + 2)(x + 6)
Solve: 5x - 7 = 3x + 1
x = 3
x = 4
x = -3
x = -4
The graph of y = -2x + 3 is a:
Vertical line
Horizontal line
Line with a negative slope
Parabola
What is the slope of the line that passes through (2, 3) and (4, 7)?
1
2
3
4
What is the y-intercept of y = -4x + 7?
-4
7
-7
4
What is the solution set of the system: y = x + 1 and y = -x + 5?
(1, 2)
(2, 3)
(3, 4)
(4, 5)
If f(x) = 3x - 2, what is f(4)?
10
12
8
14
What type of slope does a horizontal line have?
Undefined
Positive
Zero
Negative
What is the solution to 2(x - 3) = x + 5?
x = 11
x = -1
x = 1
x = -1
Which value of x is a solution to x² - 9 = 0?
9
3
-9
0
Solve the inequality: −2x + 6 ≤ 10
x ≥ −2
x ≤ −2
x ≤ −3
x ≥ −3
Which of the following represents a function?
{(1, 2), (2, 2), (3, 2)}
{(1, 2), (1, 3), (2, 4)}
{(0, 0), (0, 1), (1, 1)}
What is the slope of the line y = 5x − 3?
−3
5
3
−5
What is the range of the function y = x² for x = −2, −1, 0, 1, 2?
{−4, −1, 0, 4, 1}
{4, 1, 0, 1, 4}
{2, 1, 0, 1, 2}
{−2, −1, 0, 1, 2}
A system of equations has no solution. What does that mean?
The lines intersect once
The lines overlap
The lines are parallel
Simplify: 4x − 7 + 3x + 2
7x − 5
7x + 9
7x − 9
7x + 5
Solve for x: x² = 36
x = 6
x = −6
x = ±6
x = 36
What is the domain of the function f(x) = 3x − 1?
All real numbers
All positive numbers
All negative numbers
Which ordered pair satisfies the equation 2x − y = 4?
(1, 2)
(2, 0)
(3, 2)
(0, −4)
Which expression is equivalent to (x − 5)(x + 2)?
x² − 3x − 10
x² + 7x − 10
x² − 10x + 2
x² − 3x + 1
What is the x-intercept of the line y = −3x + 6?
(2, 0)
(0, 6)
(6, 0)
(−2, 0)
Solve for x: 4x/3 = 8
x = 6
x = 10
x = 12
x = 4
The solution to a system is (−1, 2). Which equation could be part of it?
y = 2x + 4
y = −3x + 5
y = x − 1
y = −x + 1
If f(x) = x² − 1, what is f(−3)?
−10
8
9
−8
The standard form of a linear equation is:
y = mx + b
Ax + By = C
y = a(x − h)² + k
A = πr²
Solve: 3(x - 2) = 2(x + 1)
x = 8
x = 7
x = 3
x = 4
A quadratic equation always graphs into a:
Line
Circle
Parabola
Hyperbola
Solve: 2x + 3 = 2(x + 2)
x = 3
x = 1
No solution
All real numbers
A relation is a function if:
No x-value is repeated (each domain has only one range)
All y-values are the same
No
Solve: (x – 2)(x + 5) = 0
x = -2 or x = 5
x = 2 or x = -5
x = -2 or x = -5
x = 5
A line with equation y = x + 2 has a slope of:
0
-1
1
2
What is the solution to 2x² - 8 = 0?
x = 2
x = ±2
x = 4
x = ±4
If the slope of a line is undefined, the line is:
Horizontal
Diagonal
Vertical
Curved
Simplify: (2x + 3)(x – 1)
2x² + x – 3
2x² – x – 3
2x² + 3x – 3
2x² + x + 3
Which expression is equivalent to x² – 16?
(x – 8)(x + 2)
(x + 4)(x – 4)
(x + 8)(x – 2)
(x – 4)(x - 4)
Which measure of center is most affected by an outlier?
Mean
Median
Mode
Range
A set of data has a mean of 72 and a median of 85. Which statement best describes the distribution
The distribution is symmetric.
The distribution is skewed left.
The distribution is skewed right.
The distribution has no outliers
Which of the following best describes a distribution that has a long tail to the right?
Symmetric
Skewed Left
Skewed Right
Uniform
A data set has the following five-number summary: 12, 18, 24, 30, 50. What is the interquartile range (IQR)?
12
18
24
30
The heights (in inches) of students in a class are as follows:
59, 60, 61, 62, 62, 62, 63, 63, 65, 67, 80
What is the maximum?
59
65
67
80
What is the best measure of center to describe a skewed data set?
Mean
Median
Mode
Range
A data set is summarized below:
Mean: 45 , Median: 50, Standard Deviation: 5
Symmetric with no outliers
Skewed Right
Skewed Left
Uniform
Which graphical display is best for showing the shape of a distribution for a large set of numerical data?
Bar graph
Hisotgram
Box plot
Line plot
Which statement about standard deviation is TRUE?
A large standard deviation means the data are close together
A small standard deviation means the data are widely spread out.
A small standard deviation means the data are close together.
Standard deviation is the same as the mean.
