Math Modeling Review Game

Expressions

100

4(ⁿ⁄₂+7) when n=6

40

200

Simplify as completely as possible

-5(x - 3)+12 +7x-3

2x + 24

300

9-32÷4 + 5(3 - 7)

-19

400

You buy apples at $2 per pound and oranges at $3.50 per pound. What is an expression for the total cost of fruit purchased? Also, what is the total cost of 7 apples and 4 oranges?

DEFINE YOUR VARIABLES

a = pound of apples

b = pound of oranges

2a + 3.50b

14 + 14 = $28

500

3x+2-8(x+1) + 4(x+ y) - 3y

-x - 6 + y

Literal Equations

100

Solve 5x - 7y = 12    for  y

y = ^{(5x - 12)}⁄₇

200

Solve for h:

A = ¹⁄₂ bh

h = ^2A⁄_b

300

In the equation E=mc²

 solve for m. (Note: This is Einstein's famous equation relating energy to mass, where E is energy, m is mass, and c is the speed of light.)

m = ^E⁄_c²

400

c = ^{(x + y)}⁄_a

y = ca - x

500

qrst - t = 3 solve for r

^{(3 + t)}⁄_(qst)

Equations

100

Solve for x
2(x+3)=5x−4

x = 5

200

Solve for y:

(5-y)-(5-y)= 3

No Solution

300

Solve for x

¹⁄₃(2x - ¹⁄₂) = -2(5x - ⁵⁄₃) + ³₄

⁵¹⁄₁₂₈

400

3(2x + 5) = 6x + 15

All Real Numbers

500

 2(x - 3)=5x−2(x+3) + 4

x = -4

Math Modeling

100

4 more than thrice a number is three less than twice the number. Find the number

x = -7

200

3 times the difference of a number m and 15 is equal to 30

m = 25

300

The sum of three consecutive integers is 51. Set up and solve an equation to find the smallest of these integers.

16

400

A landscaper is designing a rectangular garden. The length of the garden is always planned to be 3 feet less than twice the width. The landscaper wants the perimeter of the garden to be exactly 50 feet.

Find the length

⁴⁷⁄₃ feet

500

6 is one half of twice a number plus 3, find the number

x = ⁹⁄₂