California Mathematics by Saron Keeley

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By Saron Keeley

Bankruptcy 1: the fundamentals of Algebra
Chapter 2: Rational and Irrational Numbers.
Chapter three: Two-Dimensional Figures.
Chapter four: Linear Functions.
Chapter five: Powers.
Chapter 6: the fundamentals of Statistics.
Chapter 7: three-d Geometry.
Chapter eight: Percents, Rounding, and Accuracy.

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Sol buys a smoothie and a juice. How much is his check? 3. Erin has $36 and is going to save a further $12 a week. How many weeks will it take her to save enough for a camera? 4. A box contains 11 large tins and 17 small tins. A large tin weighs 22 ounces. What is the weight of the box? Some Inf or ma tion in a Question Ma y Not Be R ele vant Infor orma mation May Rele elev You will often come across real-life problems that contain more information than you need to find a solution. Information that you don’t need to solve a problem is called irrelevant information.

4 + 5 = 9 + 0 3. 4 + 2 • 3 = 3 • 2 + 4 4. 6 – 4 ÷ 2 = 12 ÷ 2 – 2 5. 8 + 6 • 3 = 2(10 + 3) 6. 20 ÷ 4 – 5 = 14 ÷ 2 – 7 Varia ble Equa tions Contain Number s and Varia bles ariab Equations Numbers ariab Variable equations contain variables as well as numbers and operations. There may be variables on either or both sides of the equation. For example, 2x + 2 = 6 and 3x = 2y are both variable equations. Don’t forget: x is a variable — that means that it could stand for any number. But this equation is only true when it stands for 2.

K + 7 = 10 5. 70 = 5 + b 4. s + 4 = –7 7. 32 = 11 + a 6. h + 0 = 14 8. The Holland Tunnel in New York is 342 feet longer than the 8216-foot-long Lincoln Tunnel. Use the equation H – 342 = 8216 to find the length of the Holland Tunnel. Find the value of the variable in Exercises 9–14. 9. x – 7 = 13 10. 41 = m – 35 11. p – 13 = –82 12. t – 27 = 37 13. 100 = g – 18 14. –7 = y – 2 15. Marlon buys a sweater for $28 that has $17 off its usual price in a sale. Write an equation to describe the cost of the sweater in the sale compared with its usual price.

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