Finals for Algebra 1

Simplify the expression: 121^1/2

11

Solve the equation for y: 5x-4y=10

-2.5+5/4x

Solve the inequality: 7c≤35

C≤5

3^(2x+5)=3^(-3x) x=?

-1

-14=x-12

-2

An isosceles triangle has a base of 5 centimeters and legs x centimeters long. The perimeter is no more than 30 centimeters. Writean inequality to find the possible values of x.

5+2x≤30.

1.5(q-4)-2=4

8

Write the next three terms of the arithmetic sequence. 32,26,20,14

8,2,-4

Compare the graph of g(x) =2x+1/2 to the graph of f(x) = 2x.

A vertical translation shifted up 1/2 of a unit.

Solve the equation. | k+5 | =7

K=2 or k=-12

Solve the inequality: 1/4(w-5) ≥ -2

W≥-3

Evaluate the function for the given value of x. Y=-3(4)^2; x=2

Y=-48

Write the word sentence as an inequality: A number n is no more than 8.

N<8

Solve the system of linear equations: x+6y=12, x+3y=3

(-6, 3)

Square root of 96

4 root 6

Simplify the expression: √96

4√6

Simplify the expression: 49^1/2

7

Solve the equation for x: 4ex-d=8d

9d/4e

Do the points A(-5,4), B(-8,6) and C(-6,5) lie on the same line?

No

Tell whether the given value is a solution of the inequality: 5p>49+p; p=6

No

Tell whether the given value is a solution of the inequality: y/7≥y-25; y=56

No

Tell whether the given value is a solution of the inequality: 9/10(h)≥-18; h=-30

No.

Without graphing determine whether the system of linear equations has one solution, infinetely many solutions, or no solution. Y=-3x-6, y=-4x+1.

One solution

Write an equation of the line that passes through (4,-3) and is perpendicular to the line y=6x-1

Y=-1/6x-7/3

You are draining your fish aquarium. After 2 minutes, there are 6 gallons of water in the aquarium. After 5 minutes, the aquarium is empty. Write an equation that represents the volume y(in gallons) of water in the aquarium after x minutes.

Y=-2x+10

Write an exponential function represented by the table: x:0,1,2,3 y: -4,-12,-36,-108

Y=-4(3)^x

A store receives a shipment of 380 skateboard wheels. After one week, 80% of the skateboard wheels are left. The same number of skateboard wheels are sold each week. Write an equation that represents the number y of skateboard wheels remaining after x weeks.

Y=-76x+380

You are a salesperson at a sporting goods store. You earn a fixed amount of $30 per day, plus a 20% bonus on the merchandise you sell. Write an equation that models the amount y(in dollars) you earn for sellling x dollars worth of merchandise in one day.

Y=0.2x+30

Write an equation of the line that passes through the points: (0,3), (2,3)

Y=3

For a field trip, a bus company charges $70 plus a fee per student. The total cost is $182.50 for 25 students. Write an equation that represents the total cost y of the field trip for x students.

Y=4.5x +70

Write an equation of the line that passes through the points: (-4,-3), (-2,2)

Y=5/2x+7

Write an equation of the line that passes through (4,-3) and is parallel to the line y=6x-1

Y=6x-27

Write an equation of the line that passes through (-5,3) and is perpendicular to y=-x-5.

Y=x+8

Solve the system of linear equations: y=6x-5, y=5x-4

(1,1)

Solve the system of linear equations. 2x+y=4, -3x+y=-1

(1,2)

It is 35 degrees C at your school and 90 degrees F at home. Where is the temperature higher? Formula: C=5/9(f-32).

School

Slope and y intercept of the equation: y-8=-1/4x

Slope: -1/4 y-intercept: 8

Find the slope and y-intercept of the graph of the linear equation. Y-1/3x=0

Slope: 1/3 y-intercept: 0

Solve the system of linear equations. Y=1/3x+2, y=1/6x+4

(12, 6)

Solve the system of linear equations: y=x+2, y=3x-4

(3, 5)

Solve the equation for y: 2π = 5x-3y

-2/3π+5/3x

Write the word sentence as an inequality: A number x divided by -1 is at least -4.

-x≥-4

Y-1/3x=0 find the slope

1/3

1/3x+(x-10)+(x-20)+40=360.

150

Solve the inequality. 3<t+2<6

1<t<4

Y-12=9

21

A=1/2BH, Solve for B

2a/H

The cost of your new book bag is $11.50 more than the cost c of your old book bag. You pay $47 for your new book bag. Find the cost of your old book bag.

35.50

At an arcade, small prizes cost 50 tickets each. You have 350 tickets. Write an inequality that represents the number of small prizes you can purchase with your tickets and still have 100 tickets left over.

350-50s≥100

The volume of a cube is 125/216 cubic yards. Find the dimensions of the cube.

5/6 yards

Are the equations m+4=7 and m=-3 equivalent?

No

Write an equation for the given translation of y=|x|, 3 units up.

Y=|x| +3

Tell whether the given value is a solution of the inequality. -3≤k/2, k=-1

Yes.