Writing Equations

Vocabulary

100

If you find the "sum" of two numbers what did you do with them?

Added

200

If you want to know the total price of mangoes if each mango costs 4.54$ and m is the variable that represents mangoes. What operation should you use?

Multiplication

300

If you find the "difference" between two numbers what did you do?

Subtract

400

If two numbers with the same base and different exponents are divided by each other, what do you do with the exponents. 

Subtract

500

If you cubed a number, what did you do to it?

Multiplied it by itself 3 times

Function Characteristics: Word Problems

100

Monency hikes at a rate of 6 miles per hour, started recording her stats at 2 miles. What is the slope of the function representing this situation? 

6

200

Grace wants to buy a boat but only has 4$. Write an inequality to show the prices of boats in her budget

x<_4  (less than or equal to sign) 

300

Write an equation to represent Justin's clothing brand. Which started out with 6 employees and they plan to hire 4 new employees each month. what is the y-intercept of this function? 

(0,6) or 6

400

The function d(m)=50m+100 represents the amount earned, d, by the miles walked by people participating in a charity event. They cannot walk more than 15 miles, represented by m. 

What is the domain and range represented in this situation ?

0<x<15

100<y<850

500

Write an equation that can be used to determine C, the total cost in dollars, Ayden will be charged for parking h hours. After 1 hour they paid 4.75 but after 3 hours they paid 7.75. 

C=3.25h+1.50

C=3h+4.75

C=4.75h+3

C=1.50h+3.25

C=1.50h+3.25

Equations

100

Which equation has a greater slope?

f(x)=2x+3

g(x)=−3x+4

f(x)

200

Joe is going to order babies from a local nursery. The delivery charge is $5.00. Each baby costs $2.50. What is the greatest number of rose bushes Joe can buy with $30.00? Write an equation to represent this situation 

 

2.5n+5n=30

5+2.5n=30

2.5+5n=30

2.5+2.5n=30

5+2.5n=30

300

Joe is going to order babies from a local nursery. The delivery charge is $5.00. Each baby costs $2.50. What is the greatest number of rose bushes Joe can buy with $30.00? This can be represented by 5+2.5n=30

10 babies 

400

Armani wants to buy some flowers from the store. There is a delivery fee of 14 dollars and each bouquet costs 4 dollars. If she only has 28 dollars, how many bouquets can she buy ?

3 bouquets

500

A student bought 3 pens and 5 notebooks. The price of each notebook is $16 dollars more than the price of each pen. If the student spent a total of $96 on pens and notebooks. Which linear equation can be used to find, p, the price of each pen in dollars?

3p+5(16p)=96

5p+3(p+16)=96

3p+5(p+16)=96

3p+5(16−p)=96

 

3p+5(p+16)=96

Equations From Word Problems

100

Ms. Castillo has m number of markers. Mr. Martinez has 25 markers. Together they have 45.

m + 25=45

200

Your friend has p number of pencils. You have 5 times the number pencils your friend has which is 50.

5p=50

300

5 friends share the cost c of dinner equally. Each person pays $12.

c/5=12

400

You have 3/4 the amount of money m that your friend has. You have $20.

3/4m=20 or .75m=20

500

It cost $3 to bowl a game and $2 for a shoe rental. You bowl g number games and your total for the night was $14.

3g+2=14

Writing Equations

100

The sum of a number d and 20 is 35.

d+20=35

200

The difference between 26 and a number c is 2.

26-c=2

300

Deandre invests $5,000 in bonds and stocks.

• The bonds, b, yield 6% interest annually
• The stocks, s, yield 2% interest annually.
• She earns $320 in income from her investments in a year.

Write an equation that can be used to find how much Deandre invests in both the bonds and stocks.

b+s=5,000

400

Deandre invests $5,000 in bonds and stocks.

• The bonds, b, yield 6% interest annually
• The stocks, s, yield 2% interest annually.
• She earns $320 in income from her investments in a year.

Write an equation that can be used to find how much Deandre earns from the bonds and stocks.

0.06b+0.02s=320

500

A taxi ride costs $3 plus $2.50 per mile. If you paid a total of $40.50, how far did you travel? Write an equation.

3+2.5x=40.50