Expressions, Triangles, Sequences Solving, and Slope
Simplify the Expression.
|10 - (-7)|
17
Write an equation of the line that passes through the given point and has the given slope.
(1, 4) and m = -1
y = -x + 5
Find the midpoint M of the segment with the given endpoints. Then find the distance between the two endpoints.
A(-4, 7) and B(3, -1)
M = (-1/2, 3)
Solve the equation by interpreting the expression in parentheses as a
single quantity.
2(x +5) = 12
x = 1
Tell whether the ratios form a proportion.
(6/14), (9/21)
yes
Find the area of the triangle with height 7 meters and base 12 meters.
42
Write an equation of the line that passes through the given point and has the given slope.
(-5, 3) and m = 0
y = 3
Write an equation of the line passing through point P that is perpendicular to the given line.
P(2, 4) and y = 1/2x - 6
y = -2x + 8
Solve the equation by interpreting the expression in parentheses as a
single quantity.
3(x - 2) + 7(x - 2) = 30
x = 5
Solve the proportion.
(2/8) = (5/k-8)
k = 28
Find the next three terms in the sequence.
-5, -1, 3, 7, . . .
11, 15, 19
Write an equation of the line that passes through the given point and has the given slope.
(-2, 1) and m = -5/2
y = -5/2x - 4
Write an equation of the line passing through point P that is perpendicular to the given line.
P(6, 0) and y = 4
x = 6
Simplify the expression.
sqrt(48)
4sqrt(3)
Find the product.
(x - 1)(2 + 5x)
5x^2 - 3x - 2
Solve the equation for x.
3y - 4x = 12
x = 3/4y - 3
Solve the equation.
7x + 3 = 4x
x = -1
Write the sentence as an inequality.
A number x is greater than 6 but less than 10.
6 < x < 10
Simplify the expression.
Sqrt(108)
6sqrt(3)
Solve the equation by completing the square. Round your answer to the nearest hundredth, if necessary.
m^2 + 20m + 64 = 0
m = -4 and m = -16
Find the slope of a line with points (-1, 3) and (2, -3).
-2
Solve the equation.
3w - 5 = -5w + 11
w = 2
Write the sentence as an inequality.
A number b is less than or equal to or greater than 0.
b <_ -4 or b > 0
5/sqrt(3)
5sqrt(3)/3
Find the missing dimension.
A square has a perimeter of 24 feet. What is the length of the diagonal?
6sqrt(2) or 8.5ft