Two Step Equations
The key to solving a two-step equation is isolating the variable on one side of the equation. In which of the following equations is the variable isolated?
a. x = 9/2 + 4
b. 2x = 8
c. 3x = 8 + 5
d. x = 5x - 4
a. x = 9/2 + 4
Which two dimensions does a coordinate plane have?
a. Length and width
b. Width and depth
c. X and Y
d. Positive and negative
a. Length and width
Tim has to mow his lawn in under two hours. If "t" represents the time it takes to mow the lawn, how can you express this as an inequality?
a. t > 2
b. t < 2
c. 2 ≠ t
d. t = 2
b. t < 2
What symbol will you find in every linear equation? a. x
b. +
c. -
d. =
d. =
What is the slope of a line?
a. Its length.
b. Its width.
c. Its location in space.
d. Its steepness.
d. Its steepness.
Which of these is a two-step equation?
a. x + 9 = 21
b. x = 11 + 2
c. 2x + 9 = 21
d. x/3 = 9
c. 2x + 9 = 21
How far is the point described by the ordered pair (4, 5) from the x axis?
a. 4 units
b. 5 units
c. 9 units
d. 20 units
b. 5 units
How could you rephrase the inequality, x > 6?
a. x is less than 6
b. x is greater than 6
c. x is greater than or equal to 6
d. x is less than or equal to 6
b. x is greater than 6
What is the value of y when x = 2 in the equation y = 2x - 2?
a. y = 1
b. y = 2
c. y = 3
d. y = 4
b. y = 2
What is the minimum amount of information you need in order to calculate the slope of a line?
a. The x and y intercepts of the line.
b. Any two points along the line.
c. The length of the line.
d. The endpoints of the line.
b. Any two points along the line.
To solve 2x + 9 = 21, what is the first step?
a. Dividing each side by 2
b. Dividing each side by x
c. Subtracting 21 from each side
d. Subtracting 9 from each side
d. Subtracting 9 from each side
Which term correctly describes the x axis?
a. Horizontal
b. Vertical
c. Diagonal
d. Parallel
a. Horizontal
x + 4 > 8. If you need to solve for x, what's the first step?
a. Subtract x from both sides.
b. Subtract 4 from both sides.
c. Subtract 8 from both sides.
d. Add x to both sides.
b. Subtract 4 from both sides.
What is another point on the line including (2,2) and (3,3) ?
a. (3, 4)
b. (0, 1)
c. (1, 1)
d. (1, 0)
c. (1, 1)
What does the x coordinate of a point tell you?
a. The spot where it crosses the x axis.
b. Its location along the x axis.
c. How far away it is from the x axis.
d. The length of the line along the x axis.
b. Its location along the x axis.
In the equation 2x + 7 = 21, what is the value of x? a. 7
b. 9
c. 11
d. 14
a. 7
In what quadrant does the point (-5, -8) lie?
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
c. Quadrant III
What is a possible value of x if -5 < x < 0?
a. -6
b. 3
c. -3
d. 6
c. -3
What is the value of y when x = 5 in the equation y = 5x?
a. y = 10
b. y = 20
c. y = 30
d. y = 25
d. y = 25
In the phrase "rise over run," what does "rise" indicate?
a. The difference in y coordinates between two points on a line.
b. The difference in x coordinates between two points on a line.
c. The difference between the x intercept of a line and the y intercept of a line.
d. The difference between a line's slope and its length.
a. The difference in y coordinates between two points on a line.
Solve for x: 10x - 4x = 35 + x
a. x = 4
b. x = 5
c. x = 7
d. x = 9
c. x = 7
What can you conclude about a point that lies in Quadrant II?
a. It has a positive x coordinate, and a negative y coordinate.
b. It has a negative x coordinate, and a positive y coordinate.
c. It has a positive x coordinate, and a positive y coordinate
d. It has a negative x coordinate, and a negative y coordinate.
It has a negative x coordinate, and a positive y coordinate.
4x - 2x + 3x > 50. Solve for x.
a. x > 3
b. x > 7
c. x > 10
d. x > 13
c. x > 10
Which of the following ordered pairs represents a solution to the linear equation y = 5 - x?
a. (1, 4)
b. (2, 5)
c. (4, 4)
d. (3, 1)
a. (1, 4)
Which of the following coordinates represents the y intercept of a line?
a. (1, 1)
b. (-6, 0)
c. (0, 5)
d. (-5, -5)
c. (0, 5)