Mixed Review



Mixed Review

Draw the triangle after the transformations.

|1.   |2.   |3.   |

|Rotate the triangle 270[pic] clockwise around |Reflect the triangle over the x-axis. |Translate the triangle left 2 units, then 5 |

|(0,0). |[pic] |units down. |

|[pic] | |[pic] |

| | | |

Use a proportion to find the unknown length in the pair of similar figures.

(drawings are not drawn to scale)

|4.   |5.   |

|[pic][pic] |[pic][pic] |

|length of sides: |length of sides: |

|MN  =   |AB  =   |

|72 in |35 yd |

| | |

|PM  =   |AC  =   |

|________ |15 yd |

| | |

|OP  =   |CB  =   |

|72 in |60 yd |

| | |

|NO  =   | |

|99 in |         |

| |ED  =   |

| |6 yd |

|         | |

|EF  =   |FD  =   |

|40 in |________ |

| | |

|FG  =   |FE  =   |

|55 in |________ |

| | |

|HE  =   | |

|55 in | |

| | |

|GH  =   | |

|40 in | |

| | |

| | |

| | |

| | |

| | |

Add or subtract.

|6.   |7.   |

|29.87165  +  15 |29.7  -  8 |

| | |

|8.   |9.   |

|13.67  +  15.56 |20.4  -  19.26 |

| | |

 

Find the missing length for each right triangle. Simplify your answer.

|10.   |11.   |12.   |

|a |a |a |

|  =   |  =   |  =   |

|________ |15 |13 |

| | | |

|b |b |b |

|  =   |  =   |  =   |

|10 |________ |________ |

| | | |

|c |c |c |

|  =   |  =   |  =   |

| 2  |   |   |

|[pic] |[pic] |[pic] |

|[pic] |[pic] |[pic] |

| | | |

|146 |709 |233 |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

Write an equation for each problem. Then solve the equation.

|13.   |14.   |

|A number plus 59 is 132. |A number multiplied by 9 is 36. |

| | |

|15.   |16.   |

|Eleven times a number is 121. |144 divided by a number is 12. |

| | |

|17.   |18.   |

|75 minus a number is 67. |94 plus a number is 189. |

| | |

Solve. Write the answer in simplest form.

|19.   |20.   |

|j |6 |

|  ÷   |2 |

|6 |[pic] |

|[pic] |3 |

|9 | |

| | |

| |q |

|  =   |  =   |

|3 |6 |

|[pic] |2 |

|5 |[pic] |

| |3 |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

Simplify.

|21.   |

|98 ÷ 7 × 1 |

| |

| |

|22.   |

|21 ÷ 7 + 1 |

| |

| |

 

Write each number in standard form.

|23.   |24.   |

|(6 × 103) + (6 × 102) + (3 × 101) + (4 × 100) |(6 × 10,000) + (5 × 1,000) + (1 × 100) + (1 × 10) + (3 × 1) |

| | |

|25.   |26.   |

|(9 × 105) + (2 × 103) + (6 × 102) + (2 × 101) + (8 × 100) |50,000 + 9,000 + 900 + 7 |

| | |

|27.   |28.   |

|(2 × 10,000) + (9 × 100) + (3 × 10) + (8 × 1) |(6 × 105) + (7 × 103) + (8 × 102) + (3 × 100) |

| | |

Each letter in each question stands for a 1-digit number.  In each question, no two letters may stand for the same number. Two separate problems are unrelated.  Find a value for each letter.

|29.   |30.   |31.   |

|  FINGER |   MOP |  HELLO |

|+  AGREE |+ EAST |+ SHALL |

|[pic] |[pic] |[pic] |

|  NUMBER |  MADE |  THIRD |

| | | |

| | | |

|(Use the numbers: 3, 4, 1, 9, 2, 0, 5, 6, |(Use the numbers: 9, 1, 8, 7, 3, 0, 6, and|(Use the numbers: 0, 5, 8, 1, 7, 9, 3, 6, |

|7, and 8) |4) |2, and 4) |

| | | |

Draw and label an example of each.

|32.   |33.   |34.   |

|ray YX |[pic] |[pic] |

| | | |

| |LR |BW |

| | | |

| | | |

| |intersecting |[pic] |

| |[pic] |[pic] |

| | | |

| |AE |UC |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

 

|Answer Key 0795932 |

|Draw the triangle after the transformations. |

|1.  |2.  |3.  |

|Rotate the triangle 270[pic] clockwise around |Reflect the triangle over the x-axis. |Translate the triangle left 2 units, then 5 |

|(0,0). |[pic] |units down. |

|[pic] | |[pic] |

| | | |

Use a proportion to find the unknown length in the pair of similar figures.

(drawings are not drawn to scale)

|4.  |5.  |

|[pic][pic] |[pic][pic] |

|length of sides: |length of sides: |

|OP  =   |AB  =   |

|72 in |35 yd |

| | |

|MN  =   |CB  =   |

|72 in |60 yd |

| | |

|PM  =   |AC  =   |

|99 in |15 yd |

| | |

|NO  =   | |

|99 in |         |

| |FD  =   |

| |14 yd |

|         | |

|GH  =   |ED  =   |

|40 in |6 yd |

| | |

|EF  =   |FE  =   |

|40 in |24 yd |

| | |

|HE  =   | |

|55 in | |

| | |

|FG  =   | |

|55 in | |

| | |

| | |

| | |

| | |

| | |

Add or subtract.

|6.  |7.  |

|29.87165  +  15 |29.7  -  8 |

|44.87165 |21.7 |

| | |

|8.  |9.  |

|13.67  +  15.56 |20.4  -  19.26 |

|29.23 |1.14 |

| | |

 

|Answer Key 0795932 |

|Find the missing length for each right triangle. Simplify your answer. |

|10.  |11.  |12.  |

|a |a |a |

|  =   |  =   |  =   |

|________ |15 |13 |

| | | |

|b |b |b |

|  =   |  =   |  =   |

|10 |________ |________ |

| | | |

|c |c |c |

|  =   |  =   |  =   |

| 2  |   |   |

|[pic] |[pic] |[pic] |

|[pic] |[pic] |[pic] |

| | | |

|146 |709 |233 |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

|22 |22 |8 |

| | | |

Write an equation for each problem. Then solve the equation.

|13.  |14.  |

|A number plus 59 is 132. |A number multiplied by 9 is 36. |

|n + 59 = 132 |9n = 36 |

|n = 73 |n = 4 |

| | |

|15.  |16.  |

|Eleven times a number is 121. |144 divided by a number is 12. |

|11n = 121 |144 ÷ n = 12 |

|n = 11 |n = 12 |

| | |

|17.  |18.  |

|75 minus a number is 67. |94 plus a number is 189. |

|75 - n = 67 |94 + n = 189 |

|n = 8 |n = 95 |

| | |

Solve. Write the answer in simplest form.

|19.  |20.  |

|j |6 |

|  ÷   |2 |

|6 |[pic] |

|[pic] |3 |

|9 | |

| | |

| |q |

|  =   |  =   |

|3 |6 |

|[pic] |2 |

|5 |[pic] |

| |3 |

| | |

| | |

| | |

|2 | |

|[pic] |1 |

|5 | |

| | |

| | |

| | |

Simplify.

|21.  |

|98 ÷ 7 × 1 |

|14 |

| |

| |

| |

| |

|22.  |

|21 ÷ 7 + 1 |

|4 |

| |

| |

| |

| |

 

|Answer Key 0795932 |

|Write each number in standard form. |

|23.  |24.  |

|(6 × 103) + (6 × 102) + (3 × 101) + (4 × 100) |(6 × 10,000) + (5 × 1,000) + (1 × 100) + (1 × 10) + (3 × 1) |

| | |

|6,634 |65,113 |

| | |

| | |

| | |

|25.  |26.  |

|(9 × 105) + (2 × 103) + (6 × 102) + (2 × 101) + (8 × 100) |50,000 + 9,000 + 900 + 7 |

| | |

|902,628 |59,907 |

| | |

| | |

| | |

|27.  |28.  |

|(2 × 10,000) + (9 × 100) + (3 × 10) + (8 × 1) |(6 × 105) + (7 × 103) + (8 × 102) + (3 × 100) |

| | |

|20,938 |607,803 |

| | |

| | |

| | |

Each letter in each question stands for a 1-digit number.  In each question, no two letters may stand for the same number. Two separate problems are unrelated.  Find a value for each letter.

|29.  |30.  |31.  |

|  FINGER |   MOP |  HELLO |

|+  AGREE |+ EAST |+ SHALL |

|[pic] |[pic] |[pic] |

|  NUMBER |  MADE |  THIRD |

| | | |

| | | |

| | | |

|   |   |   |

|  384702 |  947 |  40229 |

|+ 67200 |+ 8361 |+ 34622 |

|[pic] |[pic] |[pic] |

|  451902 |  9308 |  74851 |

| | | |

| | | |

| | | |

| | | |

|(Use the numbers: 3, 4, 1, 9, 2, 0, 5, 6, |(Use the numbers: 9, 1, 8, 7, 3, 0, 6, and|(Use the numbers: 0, 5, 8, 1, 7, 9, 3, 6, |

|7, and 8) |4) |2, and 4) |

| | | |

Draw and label an example of each.

|32.  |33.  |34.  |

|ray YX |[pic] |[pic] |

| | | |

| |LR |BW |

| | | |

| | | |

| |intersecting |[pic] |

| |[pic] |[pic] |

| | | |

| |AE |UC |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

| | | |

Mixed Review

Find the volume of each solid to the nearest tenth. (use [pic]= 3.14)

|1.   |2.   |

|cylinder: d = 18 ft, h = 26 ft |cylinder: radius = 6.5 m, height = 16 m |

| | |

| | |

| | |

Simplify.

|3.   |4.   |

| (56.4 - 22.84)  +  (5.8 + 3.81)  |9.85 + 24 × 5.4 × 13 - 3.24 |

| | |

| | |

|5.   |6.   |

|99.94 ×  (4.2 × 22)  |96 +  (2.8 × 5.1 × 4.18)  |

| | |

| | |

Complete.

|7.   |8.   |

|Professor Sneed is slowly reviving alien skin cells from deep |Mr. Smith is growing melons on his high desert farm. He knows |

|freeze storage. If the temperature rises too quickly, the cells |from experience that the melons will ripen well if they get no |

|will die. In fact if the temperature rise is greater than 1.8°C |less than sixteen inches of rain during the growing season. This|

|per minute, they will die. She takes the cells out of the |year it has rained eleven times. The amount of rain (in inches) |

|freezer and begins to slowly warm them. She warms them at a |that fell each time was: 0.5, 1.4, 1.3, 0.1, 0.5, 1.6, 0.5, 0.1,|

|constant increase in temperature from -71°C to 58.2°C in 1 hour |0.3, 2.3, and 0.8. Is this enough rain to allow his melon crop |

|and 16 minutes. Do the cells live or die? |to be successful? |

| | |

 

Solve for the unknown value in each equation.

|9.   |10.   |11.   |

|x  ÷  51  =  20 |y  ÷  20  =  3,315 |90t  =  10,170 |

| | | |

|12.   |13.   |14.   |

|8,636  ÷  n  =  127 |49x  =  6,860 |97,218  ÷  t  =  982 |

| | | |

|15.   |16.   |17.   |

|n  ÷  86  =  17 |3,960  ÷  y  =  165 |42,840  ÷  x  =  612 |

| | | |

|18.   |19.   |20.   |

|51t  =  8,262 |30n  =  43,050 |y  ÷  14  =  564 |

| | | |

|Find the area of the partial circle. Use  |22 | for |

| |[pic|[pic]. |

| |] | |

| |7 | |

| | | |

|21.   |22.   |

|diameter  =   |radius  =   |

|24 |22 |

| in | ft |

| | |

| | |

|Find the area of   |Find the area of   |

|5 |1 |

|[pic] |[pic] |

|6 |9 |

| | |

| | |

|  of the circle |  of the circle |

| | |

| | |

| | |

Complete.

|23.   |24.   |

|The sum of negative thirty-eight and forty-five is negative |The difference between 410 and half of a number is 286. What is |

|fifteen more than a number. What is the number? |the number? |

| | |

| | |

Order the numbers from least to greatest.

|25.   |26.   |

|37,138;   37,134;   37,115 |1,124;   5,363;   2,891;   3,749 |

| | |

| | |

| | |

 

Complete.

|27.   |28.   |29.   |30.   |31.   |

|58 |959 |244 |61 |53 |

|- 22 |- 461 |- 144 |- 18 |- 34 |

|[pic] |[pic] |[pic] |[pic] |[pic] |

| | | | | |

| | | | | |

| | | | | |

| | | | | |

| | | | | |

|32.   |33.   |34.   |35.   |36.   |

|86 |839 |50 |90 |514 |

|- 67 |- 713 |- 26 |- 74 |- 458 |

|[pic] |[pic] |[pic] |[pic] |[pic] |

| | | | | |

| | | | | |

| | | | | |

| | | | | |

| | | | | |

Find the measure of the angle.

|37.   |38.   |39.   |

|[pic] |[pic] |[pic] |

|m[pic]YXS = _________ |m[pic]DMF = _________ |m[pic]YAL = _________ |

|m[pic]QXJ = 41[pic] |m[pic]DMB = 31[pic] |m[pic]LAS = 35[pic] |

| | | |

Write each fraction as a percent. Round to the nearest hundredth of a percent.

|40.   |41.   |42.   |43.   |

|2 |33 |1 |1 |

|[pic] |[pic] |[pic] |[pic] |

|5 |50 |4 |11 |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

Complete.

|44.   |45.   |

|115 |618.3751 |

|  |  |

|mg |kL |

|  =   |  =   |

|________ |________ |

|  |  |

|kg |cL |

| | |

| | |

| | |

|46.   |47.   |

|679 |4,030 |

|  |  |

|L |mm |

|  =   |  =   |

|________ |________ |

|  |  |

|mL |cm |

| | |

| | |

| | |

|48.   |49.   |

|430,000 |80 |

|  |  |

|m |mg |

|  =   |  =   |

|________ |________ |

|  |  |

|km |g |

| | |

| | |

| | |

 

|Answer Key 0147940 |

|Find the volume of each solid to the nearest tenth. (use [pic]= 3.14) |

|1.  |2.  |

|cylinder: d = 18 ft, h = 26 ft |cylinder: radius = 6.5 m, height = 16 m |

| | |

|volume = 6,612.8 ft3 |volume = 2,122.6 m3 |

| | |

Simplify.

|3.  |4.  |

| (56.4 - 22.84)  +  (5.8 + 3.81)  |9.85 + 24 × 5.4 × 13 - 3.24 |

|43.17 |1691.41 |

| | |

| | |

| | |

| | |

|5.  |6.  |

|99.94 ×  (4.2 × 22)  |96 +  (2.8 × 5.1 × 4.18)  |

|9234.456 |155.6904 |

| | |

| | |

| | |

| | |

Complete.

|7.  |8.  |

|Professor Sneed is slowly reviving alien skin cells from deep |Mr. Smith is growing melons on his high desert farm. He knows |

|freeze storage. If the temperature rises too quickly, the cells |from experience that the melons will ripen well if they get no |

|will die. In fact if the temperature rise is greater than 1.8°C |less than sixteen inches of rain during the growing season. This|

|per minute, they will die. She takes the cells out of the |year it has rained eleven times. The amount of rain (in inches) |

|freezer and begins to slowly warm them. She warms them at a |that fell each time was: 0.5, 1.4, 1.3, 0.1, 0.5, 1.6, 0.5, 0.1,|

|constant increase in temperature from -71°C to 58.2°C in 1 hour |0.3, 2.3, and 0.8. Is this enough rain to allow his melon crop |

|and 16 minutes. Do the cells live or die? |to be successful? |

| | |

|1.7 | |

|   ................
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