Math 6.1-6.4 Algebra Quiz Review Key

6.1-6.4 Quiz Review Algebra 1 CP Name: KEY Hour: Write an inequality that is represented by the graph. 1. [Image of a number line with a closed circle at 4 and shading to the right] x ≥ 4 2. [Image of a number line with an open circle at -2 and shading to the left] x < -2 Solve the inequality. Graph your solution. 3. x + 7 > 1 x > -6 [Image of a number line with an open circle at -6 and shading to the right] 4. m - 3 < -2 m < 1 [Image of a number line with an open circle at 1 and shading to the left] 5. 10 ≥ a + 7 3 ≥ a (Rewrite as a ≤ 3 if you want!) [Image of a number line with a closed circle at 3 and shading to the left] 6. y + 2.5 < 7.3 y < 4.8 [Image of a number line with an open circle at 4.8 and shading to the left] Write the verbal sentence as an inequality. Then solve the inequality and graph your solution. 7. The sum of 15 and n is less than 8. 15 + n < 8 n < -7 [Image of a number line with an open circle at -7 and shading to the left] 8. The difference of m and 3 is greater than or equal to 10. m - 3 ≥ 10 m ≥ 13 [Image of a number line with a closed circle at 13 and shading to the right] 9. You received a $25 gift card to a sporting goods store for your birthday. You are looking at skateboards and want to spend no more than $85 of your own money.   a) Write and solve an inequality to find the prices p in dollars of skateboards you can buy.   p - 25 ≤ 85 p ≤ 110 (Your inequality can be different and still be correct!) b) What is the most expensive skateboard you can buy? $110 Solve the following inequalities. Graph your solution. 10. 3y/4 ≥ 2 y ≥ 8/3 [Image of a number line with a closed circle at 8/3 and shading to the right] 11. 11/m ≥ -5 m ≥ -25 [Image of a number line with an open circle at -25 and shading to the right] 12. -22 ≤ -11x 2 ≥ x x ≤ 2 [Image of a number line with a closed circle at 2 and shading to the left] Write the verbal sentence as an inequality. Then solve the inequality and graph your solution. 14. The product of 7 and b is less than -35 7b < -35 b < -5 [Image of a number line with an open circle at -5 and shading to the left] 15. The quotient of m and 2 is greater than 23. m/2 > 23 m > 46 [Image of a number line with an open circle at 46 and shading to the right] 16. You are in charge of buying the flowers for the flower beds around your school. You cannot spend over $80 on flowers. The flowers cost $10.99 1   per flat of flowers. What are the possible numbers of flats of flowers you can buy? 10.99n ≤ 80 n ≤ 7.28 n ≤ 7 flats Solve the following inequalities. Graph your solution. 17. 7p + 3 < -11 7p < -14 p < -2 [Image of a number line with an open circle at -2 and shading to the left] 18. 3(a - 4) ≤ 33 3a - 12 ≤ 33 3a ≤ 45 a ≤ 15 [Image of a number line with a closed circle at 15 and shading to the left] 19. -2(c - 1) < -22 -2c + 2 < -22 -2c < -24 c > 12 [Image of a number line with an open circle at 12 and shading to the right] 20. 8m - 7 < 4m + 5 4m - 7 < 5 4m < 12 m < 3 [Image of a number line with an open circle at 3 and shading to the left] 21. 10 - 11d > -5d - 4 -6d > -14 d < 14/6 d < 7/3 [Image of a number line with an open circle at 7/3 and shading to the left] 22. 6w + 3 < 2w + 15 4w + 3 < 15 4w < 12 w < 3 [Image of a number line with an open circle at 3 and shading to the left] Solve the inequality, if possible. 23. 6y - 9 ≤ 2y + 2 - 16 4y - 9 ≤ -14 4y ≤ -5 y ≤ -5/4 24. 5(a - 3) ≤ 5a - 6 5a - 15 ≤ 5a - 6 -15 ≤ -6 True: all real numbers 25. 4(c - 5) < 2(c - 10) 4c - 20 < 2c - 20 2c - 20 < -20 2c < 0 c < 0 26. Your club is in charge of making signs that students can buy to show their school spirit for the upcoming basketball game. You have made 200 signs so far, and you only have 2 and a half hours left to make the rest of the signs. You need to make at least 500 signs.   a) Write an inequality that gives the possible numbers s of signs you have to make per minute in order to exceed your goal.   200 + 150s ≥ 500 150s ≥ 300 s ≥ 2 signs per minute b) What are the possible numbers of signs you have to make per minute in order to exceed your goal? s ≥ 2 signs per minute Write an inequality that is represented by the graph. 27. [Image of a number line with a closed circle at 4 and shading to the right] x ≥ 4 28. [Image of a number line with an open circle at -3 and shading to the left, and an open circle at 3 and shading to the right] x < -3 or x > 3 Translate the verbal phrase into an inequality. Then graph the inequality. 29. All real numbers that are less than three and greater than 0. 0 < x < 3 [Image of a number line with open circles at 0 and 3, and shading between them] 30. All real numbers that are greater than 7 or less than 1. x > 7 or x < 1 [Image of a number line with open circles at 1 and 7, and shading to the left of 1 and to the right of 7] 31. All real numbers that are greater than or equal to -2 and less than 4. -2 ≤ x < 4 [Image of a number line with a closed circle at -2, an open circle at 4, and shading between them] Solve the inequality. Graph your solution. 32. -7 < x + 1 ≤ 5 -8 < x ≤ 4 [Image of a number line with open circles at -8 and 4, and shading between them] 33. 0 ≤ 2x - 3 < 8 3 ≤ 2x < 11 3/2 ≤ x < 11/2 [Image of a number line with closed circle at 3/2, open circle at 11/2