Weekly Math Review - Q13 9th Grade Algebra 1

1. f (x) = 5x + 10. If ten=ten, and then what is the value of f(10)?

1. 25
2. sixty
3. 12
4. v

2. Mr. Robinson has 20 students in his martial arts class. The ratio of boys to girls is four:ane. How many boys and girls are in Mr. Robinson'due south class?

1. 15 boys, 5 girls
2. 5 boys, 15 girls
3. 16 boys, 4 girls
4. four boys, sixteen girls

3. Which of the following equations is an example of the distributive property?

1. (5)(3) = (3)(v)
2. 5+three = 3+five
3. (5)(1+2) = (v)(i) + (5)(ii)
4. xv=15

four. Which of the post-obit equations is an example of the commutative property?

1. (3)(6+10) = 18 + thirty
2. 18 + 30 = 30 + 18
3. (iii)(vi) + (3)(10) = three(16)
4. 48 = 48

five. Let the equation of a line be described past Equation A:

10y – 5x = xl

What are the y-intercept and slope of the line?

1. The y-intercept is 40, and the slope is 10
2. The y-intercept is 10, and the slope is 40
3. The y-intercept is xl, and the gradient is 2
4. The y-intercept is 4, and the gradient is 0.5

vi. Line Thousand has a slope of 20 and intercepts the y axis at point (0, 100). What is the equation of line K?

1. y = 100
2. y = xx
3. y = 20x – 100
4. y = 20x + 100

7. Vivian wants to plant a vegetable garden that contains just tomatoes and cucumbers. However, she has a express amount of infinite for the garden, and she tin only afford to buy a specific number of each vegetable. Vivian has enough space to plant a total of 40 vegetables, and she has a total of $80 to purchase the vegetables. Tomatoes toll $1 per constitute and cucumbers cost $3 per constitute. Let T represent the number of tomatoes and let C represent the number of cucumbers Vivian volition plant in her garden.

Which organisation of linear equations can be used to solve for the number of tomatoes and cucumbers Vivian will plant in her garden?

1. T + C = xl and T + 3C = fourscore
2. T + 3C = 40 and T + C = 80
3. T + C = lxxx and T + 3C = 40
4. 3T + C = eighty and T + C = xl

8. {(v,8), (3,4), (-1,-four), (-3, -8), (-v,-12)}

What is the range of the coordinate pairs?

1. {five, 8, -5, -12}
2. {-1, -4}
3. {-five, -3, -1, 3, 5}
4. {-12, -8, -4, 4, eight}

ix. Joshua has to earn more 92 points on the state exam in order to qualify for an academic scholarship. Each question is worth 4 points, and the test has a total of 30 questions. Let 10 represent the number of test questions.

Which of the following inequalities can be solved to determine the number of questions Joshua must answer correctly?

1. 4x < 30
2. 4x < 92
3. 4x > 30
4. 4x > 92

x. Aisha runs a small concern selling candy confined to her classmates in school. She buys each processed bar for $0.75, and she sells each candy bar for $1.l. Allow y represent Aisha's profit. Allow 10 represent the number of candy bars she sells per twenty-four hour period.

Which equation best represents Aisha's daily turn a profit from selling candy bars?

1. y = 0.75x – 1.50x
2. y = 0.75x + 0.75x
3. y = ane.50x + 0.75x
4. y = ane.50x – 0.75x

STAAR Test Prep Materials - Compound Percentages

Algebra one Answer Key

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i. Answer: B
The equation describes a functional relationship between x and f(x). To solve the equation, substitute 10 as the value of x, such that f(ten)=5(10)+10=l+x=lx.

2. Answer: C
Let = the number of girls in Mr. Robinson'southward course. The ratio of boys to girls is 4:ane. So for every 1 girl in the grade, at that place are 4 boys in the class. Therefore, 4y equals the number of boys in Mr. Robinson's form. The total number of students in the grade is 20. Therefore, the number of boys plus the number of girls equals 20 or
y+4y=xx
5y=20
y=4

Hence y = 4 and 4y = 16. Therefore, 4 = the number of girls and 16 = the number of boys. Also, four + 16 = twenty, the full number of students in the class.

3. Respond: C
The distributive holding says that terms inside a set of parentheses can be multiplied by a factor exterior the parentheses. In other words, a(b+c) = ab + ac. Answer C fits this definition.

4. Answer: B
A mathematical operation is commutative if altering the gild does non alter the event of the operation. In other words, a+b = b+a, or ab = ba. Respond B fits this definition.

5. Respond: D
Start write Equation A in slope-intercept form: y =mx+b where b is the y-intercept and k is the slope:
10 y – 5x = 40
10 y = 5x + 40
y = 0.5x + four
Based on the slope-intercept form of Equation A, the y-intercept b = 4, and the slope m = 0.5.

half-dozen. Answer: D
Write the equation in slope-intercept form: y = mx+b where one thousand is the slope of the line and b is the y-intercept. In this case, the slope m = 20 and the y-intercept b = 100. Hence y = 20x+1000.

vii. Answer: A
Since Vivian will institute a total of 40 vegetables, the number of tomatoes plus the number of cucumbers is 40 or T+C = 40. Each tomato plant costs $ane; so multiply the number of tomatoes past 1. Each cucumber costs $3; then multiply the number of cucumbers by iii. Vivian has a total of $80 to spend on tomatoes and cucumbers. So T+3C = 80.

eight. Answer: D
The list of coordinate pairs represents the x and y values of five points. The range is all the y values. Reply D contains all the y values of the coordinate pairs.

9. Respond: D
In gild to determine the number of questions Joshua must answer correctly, consider the number of points he must earn. Joshua will receive 4 points for each question he answers correctly, and 10 represents the number of questions. Therefore, Joshua will receive a total of 4x points for all the questions he answers correctly. Joshua must earn more 92 points. Therefore, to determine the number of questions he must answer correctly, solve the inequality 4x>92

10. Reply: D
To calculate Aisha's daily profit, outset determine the amount of coin Aisha earns from selling candy. Since x represents the number of candy bars she sells per mean solar day, and she sells each bar for $1.50, then her daily earnings equal ane.50x. Side by side, make up one's mind how much money Aisha spends buying the processed. Since each bar costs $0.75, she spends a total of 0.75x buying the processed. Finally, subtract the amount of money she spends buying the candy from the amount of coin she earns selling the processed. Since y represents her daily profits, y = 1.50x – 0.75x.

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