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Math is just a language
Systems of Equations
100

Convert the equation into the form y = mx + b

4y = 8x + 4

y = 2x + 1

100

find the slope of a line given 2 points?

Plug them into the equation

y2 - y1/x2 - x1

100

Tewehshon does 2 math problems per minute. What linear equation represents this?

y = 2x

100

Vanessa has 3 more cats than Nehson.

x is the number of Vanessa's cats

y is the number of Nehson's cats

What is the equation?

x = y + 3

200

Convert the equation into the form y = mx + b

25x + 5y +10 = 0

y = -5x - 2

200

find the equation of the line given 2 points?

First find the slope using y2-y1/x2-x1

Then plug in the slope and one of the points in order to find b

Rewrite the equation with m and b

200

If Tewehshon has already done 5 problems and then does 2 problems per minute, what equation represents this?

y = 2x + 5

200

Maya has 5 times more songs on her playlist than Wahtsi.

x is the number of Maya's songs

y is the number of Wahtsi's songs

What is the equation?

x = 5y

300

What is the slope of the line:

3y - 9x + 21 = 0

The slope is 3

300

find the x-intercept of a line when given its equation?

(Example: what is the x-intercept of y = 8x - 2 ?)

Plug in 0 for your y

Rearrange the equation to find x

Write the coordinates of the point (x, y)

300

Eva has $500 in her special bank account and she takes out $25 every week for a little treat. What equation represents this situation?

y = -25x + 500

300

At the bake sale, Aiden sells cookies for $4 each and brownies for $3 each. If Aiden made $39, write the equation to represent this.

4x + 3y = 39

400

What is the y-intercept of the line:

6y - 7x = 30

5

400

find the point of intersection of 2 lines?

Put them in the format y = mx + b

Make y = y and solve for x

Plug x into one of the equations to find y

Write your point (x, y)

400

Monica also has a special bank account with $750 in it. She starts taking out $50 per week. When will she run out of money?

In 15 weeks

400

A latte costs 2 times more than a regular coffee.

The total cost of 4 lattes and 3 regular coffees is $44.

What is the price of a regular coffee?

x = 2y

4x + 3y = 44

A regular coffee costs $4

500

What is the slope of the line perpendicular to:

10x + 8y - 2 = 0

0.8 or 4/5

500

find the slope of a line perpendicular to another one, when given its equation?

(Example: What is the slope of the line perpendicular to y = -2x +8 ?)

Determine the slope of the first line (-2)

Plug it into the equation -1/m1 

(in this case -1/-2 = 0.5)

500

Eva has $500 and spends $25 per week.

Monica has $750 and spends $50 per week.

Who runs out of money first?

Monica

500

A bag of chips costs $2 more than a chocolate bar. 

The total cost of 8 bags of chips and 7 chocolate bars is $61.

What does 1 bag of chips and 1 chocolate bar cost?

x = y + 2

8x + 7y = 61

chips are $5, chocolate is $3