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    STAAR Practice Test Sample Questions

    Try these free sample questions from the STAAR Practice Test. Each one shows the correct answer and an explanation. The full practice tests covers: Algebra I, Biology, English, U.S. History, Social Studies, Science, Mathematics.

    Question 1

    Evaluate 1.13x + 21.5y + 13.22 where x is 4 and y is -2.35.

    1. 0
    2. 68.265
    3. -32.785
    4. -38.825

    Answer: -32.785

    Explanation: <p>Simply plug the correct values into x and y.</p> <p>1.13(4) + 21.5(-2.35) + 13.22</p> <p>= 4.52 – 50.525 + 13.22</p> <p>= -32.785</p>

    Question 2

    Which values correspond to points X, Y, Z?<br><br><img src="/questions/staar-1.jpg" alt="">

    1. x= <span style="font-family: symbol;">√</span><span style="text-decoration: overline;">5<br></span>y-=&nbsp;<span style="text-decoration: overline;">.18</span><sub><sup><br></sup></sub>z = <sup>3</sup><span style="font-family: symbol;">√<span style="text-decoration: overline;">12</span></span>
    2. x= -<span style="font-family: symbol;">√</span><span style="text-decoration: overline;">3<br></span>y-=&nbsp;<span style="text-decoration: overline;">.18</span><sub><sup><br></sup></sub>z = <sup>3</sup><span style="font-family: symbol;">√</span><span style="text-decoration: overline;">28</span>
    3. x= <sup>3</sup><span style="font-family: symbol;">√</span><span style="text-decoration: overline;">20<br></span>y-=&nbsp;<sup>3</sup>/<sub><sup>5<br></sup></sub>z = <sup>3</sup><span style="font-family: symbol;">√</span><span style="text-decoration: overline;">28</span>

    Answer: x= -<span style="font-family: symbol;">√</span><span style="text-decoration: overline;">3<br></span>y-=&nbsp;<span style="text-decoration: overline;">.18</span><sub><sup><br></sup></sub>z = <sup>3</sup><span style="font-family: symbol;">√</span><span style="text-decoration: overline;">28</span>

    Explanation: From the above graph, it is clear that x is negative, and y, z are positive. This observation allows us to rule out answers 2 and 4 answers. When evaluated, -?20 ≈ -2.71 and -√3 ≈-1.73. Since the dot corresponding to X is between -1 and -2, the answer ≈-1.73, and (3) is the correct answer. If time allows, we should also confirm y corresponds to .18 and z = ?28 ≈ 3.04.

    Question 3

    Ezekiel is comparing the prices of two paper towel brands, Brand A and Brand B. Brand B has the better price per roll, at $1.74. Brand A is sold in packs of 8, while Brand B is sold in packs of 12. The price to purchase a pack or Brand B is equal to the price to purchase a pack of Brand A. How much, per roll, does Brand A cost?

    1. $2.00
    2. $1.53
    3. $2.61
    4. $2.07

    Answer: $2.61

    Explanation: We must set up an equation to solve for the roll price of Brand A. We know that a pack of Brand B costs 12*1.74 = 20.88. We also know that this is what Brand A costs per pack. To find the per/roll price, we simply divide the pack price by the number of rolls <sup>20.88</sup>/<sub>8</sub> = 2.61. The correct answer is (3).

    Question 4

    Which values are included in the interval: [0,6)?

    1. -½ , 0, ½,&nbsp; 1
    2. 0, ½ , 1, <span style="font-family: symbol;">π</span>
    3. ½, 1, <span style="font-family: symbol;">π</span>, 6
    4. 1, <span style="font-family: symbol;">π</span>, 3, 2<span style="font-family: symbol;">π</span>

    Answer: 0, ½ , 1, <span style="font-family: symbol;">π</span>

    Explanation: The bracket before 0 indicates that 0 is in the set. The parenthesis after 6 indicates that only values up to, not including, 6 are included. This could also be written: 0 ≤ x &lt; 6. Since no values below 0 are included, we can eliminate (1) as a possible answer because it includes - ½. We can also eliminate (3) because it includes 6. Since 2 π is 6.28, (4) is also eliminated. The correct answer is (2).

    Question 5

    Write 1,500,000,000 in scientific notation.

    1. 1.5 * 10<sup>9</sup>
    2. 1.5 * 10-<sup>9</sup>
    3. .15 * 10<sup>10</sup>
    4. .15 * 10<sup>8</sup>

    Answer: 1.5 * 10<sup>9</sup>

    Explanation: Scientific notation requires the decimal after the first digit, which gives 1.5. Now we need to determine how large the exponent is by moving the decimal from after the zeroes to after the one and counting the spaces. In this case, we move the decimal 9 places. Which makes (1) the correct answer. Note: answer (2) would produce .0000000015.

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