Create an Equation
Verbal Models
Geometry
Solving Equations 1
Solving Equations 2
100
Create the equations for: For 10 weeks, Janet deposits the same amount of money into her bank. She then takes out $5 to buy a gift. There is $15 left. How much did she put in each week?
10x - 5 = 15
100
Twice a number is 14.
2x = 14 x = 7
100
An equilateral triangle has sides measuring x + 3 and 2x - 4. How long is each side?
x + 3 = 2x - 4 3 = x + -4 7 = x
100
4a = 28
a = 7
100
x/3 = 6
x = 18
200
Write an equation for: Lori pays $5 for parking and spends $15 in each store she goes to in the mall. She spends $110 total. How many stores did she visit?
5 + 15x = 110
200
The sum of 2x and 4 is 22.
2x + 4 = 22 2x = 18 x=9
200
A square with sides measuring x + 1 has a perimeter of 16. What is the value of x?
4 (x + 1) = 16 4x + 4 = 16 4x = 12 x = 3
200
6 - 9x = -48
6 + -9x = -48 -9x = -54 x = 6
200
3a = 2 + 2a
3a = 2 + 2a a = 2
300
Write an equation for: Richelle bakes banana bread for a bake sale. Half gets sold during the first hour. After 3 more sold, there are 6 left. How many did she start with?
1/2 x - 3 = 6
300
Three less than a quarter of a number is 1.
x/4 - 3 = 1 x/4 = 4 x = 16
300
A square has sides measuring 2(x + 4) and 4(x - 1). What is the length of each side?
2(x + 4) = 4(x - 1) 2x + 8 = 4x + -4 8 = 2x + -4 12 = 2x 6 = x 2 (6 + 4) = 4 (6 - 1) 2 (10) = 4 (5) 20 = 20 Each side is 20.
300
z + 2(4 - z) = 4
z + 2(4 + -z) = 4 z + 8 + -2z = 4 -z + 8 = 4 -z = -4 z = 4
300
12x + 3x = 30
12x + 3x = 30 15x = 30 x = 2
400
Write an equation for: Janelle sings two less than three times as many songs as Joe. Joe sang four songs. How many songs did Janelle sing?
3(x - 2) = 4
400
Twelve more than eight times a number is one hundred.
12 + 8x = 100 8x = 88 x = 11
400
The sides of a rectangle measure 6 and x +5. What is the length of each side if the area is 42?
6( x + 5) = 42 6x + 30 = 42 6x = 12 x = 2 x + 5 = 7 The sides are 6 units and 7 units long.
400
10x + 17 = 4x - 1
10x + 17 = 4x - 1 6x + 17 = -1 6x = -18 x = -3
400
10(2n + 10) = 120n
10(2n + 10) = 120n 20n + 100 = 120n 100 = 100n 1 = n
500
Write an equation for: Dan buys four more gifts than Lang, who bought twice as many gifts as Chris. If Dan bought 18 gifts, how many did Chris buy?
2x + 4 = 18
500
Thirty is twice the sum of a number and five.
30 = 2 (x + 5) 30 = 2x + 10 20 = 2x 10 = x
500
A rectangle with sides measuring x-1 and x+3 has the same perimeter as a triangle with sides measuring x+1, x+3, and x+5. What is the perimeter?
2(x - 1 + x + 3) = x + 1 + x + 3 + x + 5 2x + -2 + 2x + 6 = 3x + 9 4x + 4 = 3x + 9 1x + 4 = 9 x = 5 2(5 - 1 + 5 + 3) = 5 + 1 + 5 + 3 + 5 + 5 2(12) = 24 24 = 24 The perimeter is 24
500
4(7 + y) = 16 - 2y
4(7 + y) = 16 - 2y 28 + 4y = 16 + -2y 28 + 6y = 16 6y = -12 y = -2
500
-13 - 1/12s = 11/12s + 2
-13 + -1/12s = 11/12s + 2 -13 = 12/12s + 2 -13 = s + 2 -15 = s
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