Ace Your Tea STAAR Practice Test

Dividing 36 by 6 gives 6 because 6 multiplied by 6 equals 36. This basic division problem tests fundamental arithmetic skills.

Multiplying 7 by 8 yields 56. This reinforces basic multiplication facts that are essential for solving more complex problems.

By converting 1/2 to 2/4 and then adding 1/4, the sum becomes 3/4. This question checks understanding of fraction addition using a common denominator.

The factors of 12 are 1, 2, 3, 4, 6, and 12, and those of 18 are 1, 2, 3, 6, 9, and 18. The greatest common factor shared by both numbers is 6.

A prime number has only two distinct positive divisors: 1 and itself. Since 17 is divisible only by 1 and 17, it is the prime number among the choices.

Subtracting 3 from both sides gives 2x = 8, and dividing by 2 yields x = 4. This problem tests basic equation solving skills.

Dividing the total cost of $2.50 by 5 gives a cost of $0.50 per pencil. This question reinforces the concept of unit pricing.

Distributing 3 over (a + 4) yields 3a + 12, and subtracting 2a simplifies the expression to a + 12. This reinforces skills in algebraic manipulation.

Multiplying the numerators (2Ă - 3) gives 6 and the denominators (3Ă - 4) give 12, which simplifies to 1/2. This question evaluates understanding of fraction multiplication.

0.75 can be written as 75/100, which simplifies to 3/4 when both numerator and denominator are divided by 25. This conversion reinforces skills between decimals and fractions.

Slope is calculated by the formula (change in y)/(change in x). With points (2, 4) and (6, 12), the slope is (12-4)/(6-2) = 8/4 = 2.

The area of a rectangle is given by multiplying its length by its width. Thus, 8 Ă - 5 equals 40 square units.

3 raised to the third power means multiplying 3 by itself three times: 3 Ă - 3 Ă - 3, which equals 27. This problem reinforces understanding of exponents.

Adding 4 to both sides of the equation gives 3x = 15, and dividing by 3 results in x = 5. This reinforces solving linear equations with one variable.

Multiplying both sides of the equation by 2 isolates x, yielding x = 8. This problem checks understanding of solving equations involving fractions.

First, distribute the 2 to get 2x - 6, then add 4 to obtain 2x - 2. Setting 2x - 2 equal to 3x + 1 and solving for x leads to x = -3.

The ratio parts add up to 12 (3+4+5), and the sum of angles in a triangle is 180°. Multiplying 180° by the fraction represented by the largest part (5/12) yields 75°.

Expanding the equation gives 4x + 8 - 3x + 3, which simplifies to x + 11. Setting this equal to 2x + 10 and solving for x results in x = 1.

Substitute 3 for x in the function: f(3) = 2(3²) - 3 = 2(9) - 3 = 18 - 3 = 15. This question assesses the ability to evaluate functions.

If the selling price is 20% above the cost, then the cost price multiplied by 1.2 equals $6. Dividing $6 by 1.2 gives a cost price of $5.