MATH STAAR REVIEW

Front

If x = 14, which equation is true? Options: 3(20 - x) = 44, 3(12 - x) = 6, 2(x - 3) = 22, 2x - 3 = 22

Back

2(x - 3) = 22

Answer explanation

Substituting x = 14 into 2(x - 3) gives 2(14 - 3) = 2(11) = 22, which is true. The other equations do not hold true when x = 14.

Front

A circular tablecloth has a radius of 2.5 feet. What is the length of the ribbon needed to go around the edge?

Back

15.7 ft

Answer explanation

To find the length of the ribbon, calculate the circumference of the tablecloth using the formula C = 2πr. With a radius of 2.5 feet, C = 2π(2.5) ≈ 15.7 feet, which is the closest measurement.

Front

Probability of selecting a blue marble from each of Tara's two bags: Bag 1 (6 red, 5 blue, 4 green), Bag 2 (3 red, 2 blue, 4 green).

Back

2/27

Answer explanation

To find the probability of selecting a blue marble from each bag, calculate: (5/15) for the first bag and (2/9) for the second bag. Multiply these probabilities: (5/15) * (2/9) = 10/135 = 2/27. Thus, the answer is 2/27.

Front

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?

Back

25%

Answer explanation

The price was reduced by $15 ($60 - $45). To find the percentage reduction, divide the reduction by the original price: ($15 / $60) * 100 = 25%. Thus, the price was reduced by 25%.

Front

30.16 = 17.56 + 5x

Back

2.52

Answer explanation

To solve for x, subtract 17.56 from both sides: 30.16 - 17.56 = 5x. This gives 12.6 = 5x. Dividing both sides by 5 results in x = 2.52, which is the correct answer.

Front

Probability of first guest seated at a red tablecloth table? (4 red, 8 white tables)

Back

1/3

Answer explanation

There are 4 red tables and 8 white tables, totaling 12 tables. The probability of the first guest sitting at a red table is 4 red tables out of 12 total tables, which simplifies to 1/3.

Front

A doctor has an annual income of $152,125. The income tax the doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?

Back

$9,127.50

Answer explanation

To find the income tax, multiply the annual income of $152,125 by the tax rate of 6% (0.06). This gives $152,125 * 0.06 = $9,127.50, which is the correct answer.

Front

Rita has a loan of $45,580 with a simple interest rate of 4% per year. What is the amount of interest charged at the end of one year?

Back

$1,823.20

Answer explanation

To calculate the interest, use the formula: Interest = Principal x Rate x Time. Here, Principal = $45,580, Rate = 0.04, and Time = 1 year. Thus, Interest = $45,580 x 0.04 x 1 = $1,823.20, which is the correct answer.

Front

A circle has a diameter of 22 meters. What is the circumference of the circle in meters?

Back

69.08 m

Answer explanation

To find the circumference, use the formula C = πd. With a diameter of 22 m, C ≈ 3.14 × 22 ≈ 69.08 m. Thus, the closest measurement to the circumference is 69.08 m.

Front

Gabriel has these cans of soup: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. What is the probability of choosing a tomato soup and then a cheese soup, with replacement?

Back

1/25

Answer explanation

Gabriel has 10 cans total. The probability of choosing tomato soup first is 2/10. After replacing, the probability of choosing cheese soup is 2/10. Thus, the combined probability is (2/10) * (2/10) = 4/100 = 1/25.