SAT Math · Topic 1.3

Linear Equations in Two Variables Practice

Part of Algebra.

Practice questions

28

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Sample questions

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  1. Sample 1difficulty 2/5

    A 10% salt solution has 0.1x0.1x pounds of salt in xx pounds of solution. How many pounds of salt are in 50 pounds of solution?

    • A

      5050

    • B

      0.50.5

    • C

      1010

    • D

      55

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    Why

    0.1×50=50.1 \times 50 = 5 pounds of salt.

  2. Sample 2difficulty 2/5

    A train travels 240 miles in 4 hours. Its rate is:

    • A

      6060 mph

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    • B

      5050 mph

    • C

      4040 mph

    • D

      8080 mph

    Why

    Rate =240/4=60= 240/4 = 60 mph.

  3. Sample 3difficulty 2/5

    A car travels at 60 mph. Which equation gives distance dd after tt hours?

    • A

      d=t/60d = t/60

    • B

      d=60+td = 60 + t

    • C

      d=60td = 60t

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    • D

      d=60/td = 60/t

    Why

    Distance = rate ×\times time, so d=60td = 60t.

  4. Sample 4difficulty 3/5

    A 30% saline solution is mixed with 70% saline. To make 10 L of 50% saline, how much 30% solution is needed?

    • A

      55 L

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    • B

      33 L

    • C

      44 L

    • D

      66 L

    Why

    0.30x+0.70(10x)=0.50(10)0.40x+7=5x=50.30x + 0.70(10 - x) = 0.50(10) \Rightarrow -0.40x + 7 = 5 \Rightarrow x = 5.

  5. Sample 5difficulty 3/5

    A jogger runs at 6 mph. After 15 minutes, how far has she run?

    • A

      1.51.5 mi

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    • B

      3.03.0 mi

    • C

      2.02.0 mi

    • D

      1.01.0 mi

    Why

    6×0.25=1.56 \times 0.25 = 1.5 mi.