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Name: ________________________ Class: ___________________ Date: __________ Algebra II-Honors Test Review 1-1 to 1-3 Short Answer To which sets of numbers does the number belong? 31 1. 2. − 2 15 Graph the number on a number line. 11 3. Insert <, >, or = to make the sentence true. 3 4. 5. |18 + 20| 7 |−5 − 2| Find the opposite and the reciprocal of the number. 6. 3 1 ID: A Name: ________________________ ID: A Name the property of real numbers illustrated by the equation. 7. −2(x + 11) = −2x − 22 8. π ⋅ 6 = 6 ⋅ π 9. Simplify |−11 + 3| . Evaluate the expression for the given value of the variable(s). 10. 4(3h − 6) 1+h ; h = −2 11. −x 2 − 4x − 4; x = –3 Simplify by combining like terms. 12. −3(−4y + 3) + 7y 2 Name: ________________________ ID: A 13. Find the perimeter of the figure. Simplify the answer. Solve the equation. 14. 1 1 1 1 r− + r = +r 4 16 2 2 15. −5y − 9 = −(y − 1) Solve the equation or formula for the indicated variable. 16. T = 2U , for U E 17. The formula for the time a traffic light remains yellow is t = 1 s + 1, where t is the time in seconds and s is the 8 speed limit in miles per hour. a. Solve the equation for s. b. What is the speed limit at a traffic light that remains yellow for 4.5 seconds? 2 Name: ________________________ ID: A Solve for x. State any restrictions on the variables. 18. ax + bx + 9 = 7 19. Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling? 20. A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary. 4 ID: A Algebra II-Honors Test Review 1-1 to 1-3 Answer Section SHORT ANSWER 1. irrational numbers, real numbers 2. rational numbers, real numbers 3. 4. < 5. > 1 3 Distributive Property Commutative Property of Multiplication 8 48 –1 19y − 9 10x + 2y 9 − 4 1 −2 2 TE U = 2 s = 8t − 8; s = 28 mi/h −2 x = ; a ≠ −b a+b 45 mi/h and 55 mi/h 7.5 x 22.5 cm 6. −3, 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 1