Simplify/Solve
(-2)3
-8
The sum of twice a number and three is seventeen. What is the number?
2n + 3 = 17
n = 7
irrational
Line 1: y = -3x + 5
Line 2: y = -3x - 5
parallel
Solve for b.
a = 3bc
b = a/3c
23/-2
-4
Linda and Bethany paid a total of $18 for ice cream. Linda's ice cream was $6 less than twice the cost of Bethany's ice cream. How much did Linda's ice cream cost?
(2b -6) + b = 18
Linda's ice cream cost $10.
The term for a number's distance from 0
absolute value
Line 1: y = 1/5x + 9
Line 2: y = -5x + 9
perpendicular
What is the equation of the line that has a slope of -8 and y-intercept of (0,7)?
y = -8x + 7
4x2 - 5xy + 3x2 - 3x
7x2 -5xy + 3x
The perimeter of a rectangle is 70 cm. If the length is 7 cm longer than the width, what are the dimensions of the rectangle?
2(w+7) + 2w = 70
21 cm by 14 cm
Identify as a monomial, bionomial, or trinomial:
5xy2 - 5xy
binomial
Line 1: through (-7, -1) and (-2, -6)
Line 2: through (5, 1) and (-2, -4)
neither
What is the y-intercept of the equation y = 4x +18?
(0,18)
9(1+v) = 8(v-2)
v=-25
Seven less than one-fifth of a number is twenty-eight. What is the number?
1/5n - 7 = 28
The number is 175.
What type of formula is used to calculate a term of a sequence from one or more previous terms?
recursive formula
Line 1: x - 9y = 2
Line 2: x - 9y = 10
parallel
After combining like terms, the expression
7x2 - 2y2 + 10y2 - 2x2 - 10
would be a binomial, monomial, or trinomial?
trinomial
2/5b + 3/10 = 1/2
b=1/2
Last year, a barbershop had a total income of $125,000. The total income this year was 6% more than last year. What was the total income this year?
x = 125,000 + (6%)(125,000)
This year's income is $132,500.
Is the equation -3x + 9y = 12 written in standard form? Why or why not?
No, A is not positive, and the constants have a common factor.
Line 1: through (-1, -5) and (4, 10)
Line 2: through (-5, 1) and (10, -4)
perpendicular
What type of equation is 4x - 10 = 2(2x -5)
identity