# Express Review Guide: Algebra I by LearningExpress Editors

By LearningExpress Editors

Exhibit overview publications: Algebra I is helping scholars collect useful abilities with speedy, special classes. All key subject matters are coated. Readers will take advantage of math assistance, recommendations for keeping off universal pitfalls, sidebars of math definitions, and an in depth word list. moreover, pre and posttests support scholars gauge either their susceptible components in addition to their development.

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Additional info for Express Review Guide: Algebra I

Sample text

Three more than a number 2. Twice the sum of a number and three 3. Three more than twice a number 4. Three more than half a number 5. Half of three more than a number 6. Half of twice a number 7. Jenny was y years old three years ago. (a) How old is she now? (b) How old will she be five years from now? 8. Isabel can do a job in d days. What fraction of the job can she do in one day? 23 24 Express Review Guides: ALGEBRA I PRACTICE LAP 9. John and Mary are 20 miles apart. John is walking toward Mary at a speed of j miles per hour, and Mary is walking toward John at the rate of m miles per hour.

2n is twice n, and 2n + 3 is three more than that. Half of n is ᎏ2nᎏ, and ᎏ2nᎏ + 3 is three more than that. 1 (n + 3) ᎏ or (ᎏ2ᎏ)(n + 3) is half of that. n + 3 is three more than n, and ᎏ 2 2n is twice a number. You are looking for half of 2n, or (ᎏ21ᎏ)2n. Because (ᎏ21ᎏ) ⋅ 2 equals 1, you can express half of twice a number as 1n, or n. (a) Jenny is y + 3 years old now. (b) Five years from now, she will be five years older than y + 3—that is, she will be y + 3 + 5 = y + 8 years old. In one day, Isabel can do ᎏd1ᎏ of the job.

Instead, an open statement has a solution set. The solution set for 4x = 12 contains the number 3. The number 3, when substituted for x in 4x = 12, transforms the open statement 4x = 12 into a statement, 4 ⋅ 3 = 12, which is both closed and true. You would write the solution set for this open statement as {3}. Let’s look at open statements that have more than one number in their solution sets. The equation x2 = 9 has two solutions, 3 and –3. The solution set is written {3,–3}. The solution set for the inequality 2x > 18 is {all numbers greater than 9}.