Equations
3/2x-10=50
x=40
I have 4 consecutive integers. The sum of the first and the third is at least 94. What are the smallest integers it can be?
46,47,48,49
Factor out x:
x3+32x2+14x=0
x(x2+32x+14)=0
Enter the expression by giving the numerical value
1003/2
1000
Write a line in slope-intercept form that goes through the point (5,7) with a slope of 8
y=8x-38
5x+25=15
x=-2
A local grocery shop sells bags of apples for 6 dollars and bags of peaches for 9 dollars. If a total of 18 people bought a bag of fruit for a total of120, how many of each size bag was purchased?
4 bags of peaches and 14 bags of apples
Multiply the polynomials:
(a+6)(a+2)
a2+8a+12
Simplify the following
√500
10√5
Write an equation in point-slope form that goes through the point (4,-3) and has a slope of -1
y+3=-1(x-4)
11x+44=110
x=6
Max has 3 more quarters than dimes. In total, he has $2.85. How many of each coin does Max have?
6 dimes and 9 quarters
Factor:
3b2-20b-7
(3b+1)(b-7)
√10 x √35 x √28
70√2
Give an equation in point-slope form that passes through the points: (0,8) (-1,10)
y-8=-10/9(x-0)
-6x-12=24
x=-6
Jax and grace together have $60. Jax has $9 more than twice Grace’s amount. How much money does each person have?
Jax has $43 and Grace has $17
Solve for x:
16x2-100=0
x=2.5
x=-2.5
√20 x √20 x √2 x √10
40√5
write an equation in slope-intercept form that passes through the point (0,-8) and is parallel to the line y=2x+13
y=2x-8
10x+5=-40
x=-4.5
Theo works at a candy shop and wants to make a 40-pound mixture of candy and nuts by combining candy selling for 2.40 a pound and nuts selling for 3.20 a pound. If the mix sells for 2.70 a pound, how many pounds of each should Theo use in the mix?
15 pounds of nuts and 25 pounds of candy
Solve for x:
4x2-32x+60=0
x=5
x=3
Two sides of a right triangle are 2√5 and √30. What is the length of the longest side?
4√10
Write an equation in point-slope form that passes through the point (2,13) and is perpendicular to the line y-8=2(x-3)
y-13=-½(x-2)