Terms and Like Terms

Algebra 1-1/1-2 Notes

BUILD YOUR VOCABULARY :

Terms and Like Terms:

How many terms are in the following expression?: ______5x + 3 + 8x

1. 2. 7x - 5 - 3y - 10x + 8y - 8

Simplify each expression by combining like terms. Tell how many terms are in the original problem and answer. 5x + 3 + 8x : ______

3. 7x - 5 - 3y - 10x + 8y - 8 :______

4. -2x - 6 + 9y - 3x - 9y :______

5. 4xy - 4xz + 7xy - 11yz :______Algebra 1-1/1-2 Notes

Distributive Property: numbers in a sum or difference are ______by the same value.

Simplify the expression by using the distributive property: ______4(3+2)

6. 5(4 + 8) = ______7. -(2x + 6) = ______8. 3x(5 + 2x) = ______9. (a + 4)15 + 3a = ______10. 4b(3a + 2x) - 5( x+2)= ______

Simplifying Fractions (Reducing) Use your calculator to reduce the following fraction: Simplify each fraction. 11. = ______12. = ______13. = ______

Solving Equations Step 1: ______Step 2: ______Step 3: ______Step 4: ______Solve the 1 Step Equations and check your answer. 14. p + 5 = -10 15. -7.5 = r - 2.6

Check: Check: 16. m + (-34) = -21 17. -5t = 60 Algebra 1-1/1-2 Notes

Check: Check:

18. = 15 19. = 12

Check: Check:

Solve the 2 Step Equations and check your answer. 1. 4n + 9 = -3 2. 13 = -8y - 11

Check: Check:

3. -2.5d - 3.4 = 74.1 4. + 11 = 29 Algebra 1-1/1-2 Notes

Check: Check:

5. 6 = -12 + 6. - 14 = 61

Check: Check:

Extension: Solve each equation and check the solution on the calculator.

1. y - 7 + 4y = 13 2. 3(a - 5) + 19 = -2

Check: Check:

Word Problems:

1. Kelly takes her niece and nephew to a One Direction concert. She buys t-shirts and bumper stickers for them. Kelly’s niece wants 1 shirt and 4 bumper stickers and her nephew wants 2 t-shirts and no bumper stickers. If Kelly’s total is $67, Algebra 1-1/1-2 Notes what is the cost of 1 t-shirt? Bumper stickers are $1 each. Let s equal the cost of t- shirt.

2. Randy has $83 in his bank account. Each week, he plans to deposit $8 from his allowance and $15 from his paycheck. The equation b= 83 + (15 + 8)w gives the amount b in his bank account after w weeks. How many weeks from now will Randy have $175 in his bank account?

3. Reid is ordering a meal and has $15 to spend. Cotton Patch charges 6% sales tax. Reid plans to leave a 15% tip. The equation c = x + .06x + .15x gives the total cost c of your meal, where x is the cost before tax and tip. What is the maximum amount Reid can spend before tax and tip?