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WARM UP

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- -12(k + 4) = 60
- 63 = 6.50p + 17.50
- Solve for x. 3x + 6y = 12

I can solve and write equations using inverse operations.

Check answers.

5X + 15 = 50

X = 7

8x – 2x + 3 = 15

What’s the 1st step?

Combine like terms on the left side.

8(3a + 6) = 9(2a – 4)

A = -14

Determine how many solutions the following equation has. If the equation has one solution, solve for the variable.

3(6 – 4x) = -2(6x – 9)

All real numbers

How many solution does the equation have? If there is only one, determine the value.

-g + 2(3 + g) = -4(g + 1)

G = -2

Find the value of x.

0.2(x + 50) – 6 = 0.4(3x + 20)

X = -4

Solve for following equation for y.

6x + 3y = 12

Y = -2x + 4

Solve the following equation for a.

=

What is the value of x if the perimeter is 28 cm?

X = 5

If the formula for m = 3abc, what is the formula for b?

b =

Write an equation and then determine the number described in the following statement: Four more than twice a number is four times a number less six.

2x + 4 = 4x – 6: x= 5

My refrigerator repairman charges $125 to make a house call and $25 for each hour worked. If you have $350, can you afford a repair that that takes 6 hours?

No, h = 5

The product of a number and three is equal to twice the number subtracted from forty-five.

3x = 45 – 2x; x = 5

Alan brought cupcakes for his Math class. He gave half of them to the boys and 7 cupcakes to the girls. He had 2 cupcakes left after class. How many cupcakes did he bring?

18 cupcakes

Gary and Fred are working on their study guide. Gary can solve 6 questions per minute and Fred can only solve 3 questions per minute. If they both start at the same time, how many minutes will it be before Gary solves 9 more questions than Fred?

3 minutes

Ruby says the following equation has infinitely many solutions but Joanna says there are no real solutions for the equation. Solve. Who’s right?

-10y + 18 = -3(5y – 7) + 5y

No solution. 18 ≠ 21