Show:
Writing Expressions
Distribution
Solving Equations (Balancing and Flow Charts)
Like Terms
Factoring
100
1. Translate to an algebraic expression: the sum of a number and thirty-six
What is n + 36
100
19. Distribute: 2 (x + 3) = ____________
What is 2x + 6
100
Solve using a flow chart and backtracking to check: 2x + 7 = 29
What is x times 2 2x plus 7 2x + 7 = 29 11 divided by 2 22 minus 7 29
100
5. Simplify by combining like terms: -b + 15b = _________
What is 14b
100
Factor (or undistribute): 2x + 2 = __(____)__
What is 2 (x+1)
200
2. Translate to an algebraic expression: a number increased by eighteen
What is n + 18
200
22. Distribute: 7 (2a - 5) = ____________
What is 14a - 35 OR 14a + -35
200
13. Solve using the balance method. Combine like terms first, then check by substitution: 60 - 12b + 12 = 0
What is 60 - 12b + 12 = 0 60 - 12b + 12 = 0 60 - 12(9) + 12 = 0 -12b + 72 = 0 60 -72 + 12 = 0 -12b = -72 -72 + 72 = 0 b = 9
200
6. Simplify by combining like terms: 5x - 12x = ___________ Hint: Rewrite as addition first!
What is 5x + -12x = -7x
200
Factor (or undistribute): 3x + 12 = ___(____)___
What is 3(x + 4)
300
3. Translate to an algebraic expression: a number decreased by fifty-two
What is n - 52
300
21. Distribute: 3 (4x - 10) = _______________
What is 12x - 30 OR 12x + -30
300
18. Solve using the balance method. Combine like terms first, then check with substitution! x + 2x + 3x - 7 = -25
What is: x + 2x + 3x - 7 = -25 6x - 7 = -25 (-3) + 2(-3) + 3(-3) -7 = -25 6x = -18 (-3) + (-6) + (-9) - 7 = -25 x = -3 -18 - 7 = -25
300
7. Simplify by combining like terms: -8 + (-5a) = ________
What is -8 + (-5a) !!!
300
Factor (or undistribute): 5n - 25 = __(____)___ Hint: Rewrite as addition first!
What is 5(n - 5) or 5(n + -5)
400
4. Translate to an algebraic expression: ten less than twice a number
What is 2n - 10
400
20. Distribute: -5(2a + 3) = _____________
What is -10a + -15 OR -10a - 15
400
11. Solve using the balance method. Combine like terms first, then check by substitution: n + 4n - 11 = 19
What is n + 4n - 11 = 19 n + 4n - 11 = 19 (6) + 4(6) - 11 = 19 5n - 11 = 19 6 + 24 - 11 = 19 5n = 30 30 - 11 = 19 n = 6
400
10. Simplify by combining like terms: -8n - (-8n) = __________ HINT: Rewrite as addition first!
What is -8n + +8n = 0 !!!
400
Factor (or undistribute): 7n - 14 = __(____)____ Hint: Rewrite as addition first!
What is 7(n - 2) or 7(n + -2)
500
Translate to an algebraic expression: the difference between eleven and a number
What is 11 - n
500
3 (2x + 4 + y) = _____________
What is 6x + 12 + 3y
500
29. CHALLENGE: Solve using the balance method. Check by substitution: 2 (a + 7) = 16 HINT: there's more than one way to solve it!
What is 2(a + 7) = 16 2 (a + 7) = 16 2(1 + 7) = 16 2a + 14 = 16 2(8) = 16 2a = 2 a = 1
500
9. Simplify by combining like terms: -3a - (-7a) = __________ HINT: Rewrite as addition first!
What is -3a + +7a = 4a
500
Factor (or undistribute): 8x + 4 = ___(____)___
What is 8(x + 1/2) or 8(x + 0.5)