IM 1 Semester 1 Final

Solving Equations

100

Solve for x:

5x + 3 = 18

x = 3

200

solve for m

-3(m+1) = 18

m = -7

300

solve for z in 3z + 6x = 12

z=-2x+4

400

solve for p

3(2p-4)=5p

p=12

500

Solve for n

3(n-5)+2=4n

n=-13

Linear Equations

100

Find the y-intercept of the line 

-4x + 2y = 12

y-intercept: (0, 6)

200

Find the slope for the line 

x+ 4y = 24

Slope: -1/4

300

Find the slope between the points 

(150, 4) and (-200, 4)

Slope: 0

400

Find the equation of the line that goes through the point (-2,-5) and (-7, -20)

y = 3x+1

500

Find the equation of the line that goes through the points (9,7) and (-9,1). 

y=1/3x+4

Word Problems

100

The gas station charges $4.25 per gallon of gas. How much will you pay for 15 gallons of gas?

$63.75

200

Holland bikes 5 miles in 10 minutes. Find his speed per hour. 

Holland bikes 30 miles per hour

300

The ice skating rink hosts birthday parties for an initial fee of $200 and then $15 per pizza ordered. If Gracie paid $320 for her birthday party in total how many pizzas did she order?

8 pizzas

400

The sale price of cake at the grocery store is $25.49 for the cake and $0.50 for every additional topping on the cake. Write an equation for the situation. 

y = 0.5x +25.49

500

There is a fee to rent a moving truck plus $20 per hour. Joey rented the truck for 8 hours and paid $300. Write an equation that represents this situation.

y=20x+140

Evaluating Expressions

100

Evaluate 4b-5 for b = 10

35

200

Evaluate 3(x+6) for x = -2

12

300

Evaluate -3(-x-4) for x = 2

18

400

Evaluate -5(x-2)+1 for x = -3

26

500

Evaluate 2(3x-4)+5(x-1) for x = 2

9

Simplifying Expressions

100

Simplify the expression 4m + 5 - 3 - 6m

-2m + 2

200

Simplify the expression -3(x-1)+3x

3

300

Simplify the expression 4(2x-3)+3(x-5)

11x-27

400

Simplify the expression 3(-2x-5)-6(x+7)

-12x-57

500

Simplify the expression 5(m+2)-3(4m-5)

-7m+25