Multistep Equation
p − 1 = 5 p + 3p − 8
p=1
slope intercept form for ( 7, 2), m=6
y=6x-40
Solve system of equations:
y=-2
3x-y=-1
(-1,-2)
m^2+12m+32
(m+8)(m+4)
Write an algebraic expression for each verbal expression. Then simplify, indicating the properties used.
six times the difference of 2a and b, increased by 4b
6(2a-b)+4b
−18 − 6k = 6(1 + 3k)
k=-1
Write the point-slope form of an equation for the horizontal line that passes through (4, 2).
y-2=0
y=4x
3x-y=1
(-1, -4)
y^2-7y-8
(y-8)(y+1)
The sum of two numbers is 70. One number is ten more than twice the other number.
Find the numbers.
50 and 20
−3(4x + 3) + 4(6x + 1) = 43
x=4
Write the eqation in standard form.
y+4 = (-2/5)(x-1)
2x+5y=-2
y=-x+3
2y+2x=4
No solution
2a^2+5a+3
(2a+3)(a+1)
Rema is older than Ken. The difference of their ages is 12 and the sum of their ages is
50. Find the age of each.
Rema=31
Ken=19
24a − 22 = −4(1 − 6a)
No solution
Write the slope-intercept form for an equation of the line that passes through the given point and is perpendicular to the graph of each equation.
( 1, 3), 2x+4y=12
y=2x+1
2x+y=3.5
-x+2y=2.5
(0.9, 1.7)
3b^2-18b=10b-49
b=7,7/3
The length of a rectangle is
5 centimeters more than the width. The area
of the rectangle is 36 square centimeters.
What is the length?
9cm
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x=-5
Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is 5/3
r=13/4
The length of Sally’s garden is 4 meters greater than 3 times the width.
The perimeter of her garden is 72 meters. What are the dimensions of Sally’s garden?
L: 28m
W: 8m
16a^2+40ab+25b^2
(4a+5b)^2
The sum of the squares of two consecutive odd integers is 74. Find the two integers.
5 and 7, or -5 and -7