Evaluate the variable expression when y = 4.
16/y = 16/4
4
100
Solve: 7 + 2x > -3
Answer: x > -5
100
Identify the slope in this equation:
y = 6 - 3/7x
Slope (or m) = -3/7
100
What form is this equation written in?
5x + 6y = 3
This is the standard form! Ax + By = C.
100
Employees must work at least 20 years in a company to receive full benefits upon retirement. Write an inequality to describe this situation.
What is y ≥ 20.
200
|-7/9| = ?
Answer = 7/9
-(-7/9) = 7/9
200
Solve: -14x + 14 < 56 and plot on a number line.
Answer: x > -3 (remember to flip that sign!) and the number line should have open circle on -3 moving to the right direction.
200
Write the equation of a line with a slope of 3 and intersects the y axis at -11.
Answer: y = 3x - 11
200
4y = -x + 16
Identify the slope and the y-intercept.
Answer: remember to simplify!
m = -1/4 and y-intercept = (0,4)
200
Identify the slope of a line parallel to y = -1/3x - 6.
Answer: m = -1/3
Remember the slopes of parallel lines are the same!
300
A race car driver maiantains an average speed of 175 miles per hour. How far has she travelled in 3 hours?
Answer: 525 miles
175 mph x 3 hours = 525 miles
300
Solve: x + 3 < 7 or 4x > 20
Answer: x < 4 or x > 5.
300
On the graph of this inequality x < 2:
1. Is the line dashed or solid?
2. Is the line vertical or horizontal?
Answer:
1. The line is dashed (remember > or < --> dashed line while greater than or equal to OR less than or equal to --> solid line)
2. This line will be vertical
(And intersects the x axis at -2)
300
y + 2x = 10, find the y-intercept and the x-intercept.
Answer: y-intercept = (0,10); x-intercept = (5,0)
y + 2x = 10 y + 2x = 10
0 + 2x = 10 y + 2(0) = 10
x = 5 y = 10
300
Rise/run describes what?
Slope!
m = rise/run or change in Y/change in X or Y2-Y1/X2-X1
400
The formula for the area of a triangle is A = 1/2bh. Using this formula, find a formula for base (b).
Answer: b = 2 x A/h
400
Solve: -1 < 3x + 2 < 11. Then plot the solution on a number line.
Answer: -1 < x < 3 (can also be written as x > -1 AND
x < 3), number line should show closed dot on -1 and -3 and only including numbers between -1 and -3.
400
Write the point-slope form of a line that passes through (5,-4) and (2,2).
Answer: y + 4 = -2(x-5)
First find slope:
m = Y2-Y1/X2-X1 = 2-(-4)/ 2-5 = -2
Then plug into point slope equation also using Y1 and X1:
y -(-4) = -2(x-5)
y + 4 = -2(x-5)
400
Find the slope of a line that passes through the point (-2,5) and (4,-7).
Answer: m = -2
m = Y2-Y1/X2-X1
m = -7 - 5/ 4 - (-2)
m = -12/6
m = -2
400
Write in slope intercept form, the equation of a line that passes through (2,0) and (0,2).
y = -x + 2
First find slope = 2-0/0-2 = 2/-2 = -1, then plug into slope intercept equation using y intercept given!
500
Solve 2n - 5n + 11 = 2 - 3n +9. How many solutions does this have?
Answer: x < 1 AND x > -3 (remember with absolute values we have to break it up into a + and -, > is an OR statement while < is an AND statement)
x + 1 < 2 and x + 1 > -2
x + 1 - 1 < 2 - 1 and x + 1 > -2 - 1
x < 1 and x > -3
500
Find the point-intercept form of a line that passes through (5,-2) and a slope of 3, then convert your final answer to slope-intercept form.
Answer: y = -3x + 13
y - (-2) = -3(x-5)
y + 2 = -3x + 15
y = -3x + 13
500
What is the formula for point-slope form?
Answer: Y - Y1 = m (X - X1)
500
Write in standard form, the equation of a line that passes through (3,4) with a slope of -2/3.
Answer: 2/3x + y = 6
Y-Y1 = m(X-X1)
y - 4 = -2/3(x-3)
y - 4 = -2/3x + 2
2/3x + y = 6