Fun with Equations
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Word Problems
100

Solve: 4x + 7 = 31

x = 6

100

Is this a function: {(1, 2), (2, 3), (2, 4)} Use the rule of a function to support your answer

No

100

Algebra: What is the slope-intercept form of a linear equation 

Algebra: y = mx + b

100

Find the x- and y-intercept of the

line 2x + 3y = –18

x-intercept is –9; y-intercept is –6.

100

The coordinates for a point located 3 units right and 5 units up from the origin.

(3, 5)

200

Solve: 2(3x - 4) = 34

x = 7

200

These two lines are like railroad tracks and will never intersect no matter how far they go.

parallel lines

200

What does b represent in the slope intercept formula?

y-intercept

200

Combine Like Terms: 

4h2k + 4hk2 + 2k2 + 7hk2 - 2k - 3h2k

kh2+11hk2+2k

200

Apples cost $1.50 each and oranges cost $1.00 each. If you buy 4 apples and 6 oranges, how much change will you get if you pay with a $20 bill?

$8 

300
Solve: 3x + 3 - 2x = 21
x = 18
300

Simplify: 

-4(8x - 2) -2(4 - 3x)

-26x

300

Algebra: What is the Standard form of a linear equation:

Ax + By = C

300

Solve: (3 - 3x)/7 = 6

x = -13

300

A Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile (m). Katie has no more than $10 to spend on a ride. Create an inequality that represents the situation.

0.65m + 1.75 < 10

400

Solve for p: 

3p - 1 = 5( p - 1) - 2(7 - 2p)

p = 3

400

Simplify: a(b + c) - 2a(c - b)

3ab-ac

400

Whether the lines for this pair of equations are parallel, perpendicular, or neither.

7x – 4y = 4        y = 1/4x - 3/4

neither

400

Expand (2x – 6)2

4x2 - 24x + 36

400

Adult tickets cost $15 and child tickets cost $10. If the theater sold a total of 120 tickets and made exactly $1,550, how many of each ticket type were sold?

50 child tickets 

70 adult tickets

500

Solve: 3/7x + 6 = 9

x = 7

500

Simplify: 

1/5(-5 + 15x) - 2/5(20x - 25)

9-5x

500

How to solve this system of equations using ELIMINATION. 

(3, 4)

500

Algebra: Write the slope-intercept form of the line passing through (3,9) (-2,4) 

Algebra: y=1x+6

500

Riddle: A farmer has 22 heads and 72 feet between his horses(h) and sons(s). How many of each are there? 

8 sons and 14 horses