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
Your average in Algebra must be a 92.5 or greater to receive an A. Write an inequality to model this situation.
What is a ≥ 92.5
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
The length of a rectangle is 40 in, and its area is to be less than 360 in2. What can be said about the width of the rectangle?
What is it must be less than 9 inches (w < 9)
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 xA/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
The leading scorer in your basketball division finished the season with an average of 20 points per game for 25 games. As the division's second leading scorer, you have a 19.5 point per game average for 24 games. You have yet to play your last game. How many points must you score in the last game of the season to overtake the division's leading scorer?
What is 32 points or more (p > 32).
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
What is the formula for point-slope form?
Answer: Y - Y1 = m (X - X1)
500
The base of a triangle is 10 inches. Its height is (x + 4) inches. Its area must be at least 60 in2. What are the possible values of x? (Area of a triangle = 1/2 base * height)