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Solve Equations
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Solve Equations
100
3y - 4 + 5y = 6 - 2y
What is y = 10/9?
100
Rearrange the formula to highlight R. I = PRT
What is R = I --- ? PT
100
Three more than twice a number is 11. Solve.
What is 2x + 3 = 11, therefore x = 8 ?
100
Justify the following solution: 3x + 5 = 11 x = 2
What is 3(2) + 5 = 11 11 = 11 ?
100
Given d = rt, how many miles did a car travel if it drives at a rate of speed of 30 miles and hour for 3 hours?
What is 90 miles?
200
2 -- x = 6 3
What is x = 9?
200
Rearrange the formula to highlight t. d = rt
What is d --- ? r
200
2 times the sum of 3 and a number is 20. What is the number?
What is 2(3 + x) = 20, therefore, x = 7 ?
200
Justify the following solution. 2a - 6 = 5a a = -2
What is 2(-2) - 6 = 5(-2) -10 = -10 ?
200
Given I = PRT, where I is the interest in dollars, P is the original money loaned, R is the interest rate, and T is the time in years, if Miss Richardson borrows $3000 for 4 years at a rate of 3%, how much interest will she owe for the loan?
What is $360?
300
-2(m + 4) = 8
What is m = -8?
300
Rearrange the formula to highlight π (pi). C = 2πr
What is C --- ? 2r
300
4 less than the product of a number and 2 is 8. What is the number?
What is 2x - 4 = 8, therefore, x = 6 ?
300
Justify the following solution. 3(m - 4) + 2m = 8 m = 4
What is 3(4 - 4) + 2(4) = 8 8 = 8 ?
300
Given the bacteria growth formula A = P(2.718)^(0.04t), where P is the original population, t is the time in hours, and A is the new population, how many bacterial will there be after 20 hours if we begin with 30 bacteria?
What is 66.8 bacteria or about 67 bacteria?
400
4(x + 3) - x = 2(x + 1)
What is x = -10?
400
Rearrange the formula to highlight P. A = P(2.718)^(0.04t)
What is P = A ------------ ? 2.718^(0.04t)
400
The quotient of 5 more than a number and 3 is equal to 6. What is the number?
What is x + 5 ------- = 6, therefore x = 13. 3
400
Justify the following solution. 3t + 4x = 6 - 2x t = 2 - 2x
What is 3(2 - 2x) + 4x = 6 - 2x 6 - 6x + 4x = 6 - 2x 6 - 2x = 6 - 2x ?
400
My cousin is 4 more than half my age. If I am 22, how old is my cousin?
What is 15?
500
2 1 -- (x - 9) = -- 3 6
What is 37 ---- ? 4
500
Rearrange the equation to highlight x. ax + b = c
What is c - b ------ ? a
500
Susie is 4 less than 2 times as old as Bob. Together their ages total 38. How old is each person?
What is Susie: 2x - 4 Bob: x Together: 2x - 4 + x = 38, therefore x = 14. Susie is 24 years old. Bob is 14.
500
Justify the following solution. 1 3 5 --x + -- - --x = 3 3 2 6 x = -3
What is 1 3 5 --(-3) + -- - --(-3) = 3 3 2 6 -1 + 3 + 5 = 3 --- --- 2 2 3 = 3 ?
500
Find the dimensions of a triangle whose sides are 2x - 1 3x 3x + 2 and whose perimeter is 81 inches.
What is x = 10, therefore the dimensions of the triangle are 19 inches 30 inches 32 inches ?