Day 9 Equations and Inequalities Review

Authored by Jeewant Kaushal

Mathematics

9th Grade

CCSS covered

Used 15+ times

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22 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation $3x-4=11$

$x=-5$

$x=5$

$x=3$

$x=\frac{7}{3}$

Answer explanation

To solve the equation 3x - 4 = 11, first add 4 to both sides to get 3x = 15. Then divide by 3 to find x = 5. Therefore, the correct answer is x = 5.

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Simplify the expression $\frac{6\left(3x+5\right)}{2}$

$3x+15$

$3x+30$

$9x+15$

$9x+30$

Answer explanation

To simplify the expression, distribute 6 to both terms inside the parentheses: 63x + 65 = 18x + 30. Then divide by 2 to get 9x + 15.

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation $\frac{3}{4}\left(x-2\right)=15$

$x=22$

$x=18$

$x=20$

$x=1$

Answer explanation

To solve the equation, first distribute the 3/4 to get 3/4x - 3/2 = 15. Then, add 3/2 to both sides to isolate x, giving x = 22. Therefore, the correct answer is x = 22.

Tags

CCSS.7.EE.B.4A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inequality $11z-43<-32$

$z<-1$

$z<1$

$z>-1$

$z>1$

Answer explanation

To solve the inequality 11z - 43 < -32, add 43 to both sides to get 11z < 11. Then, divide by 11 to find z < 1. Therefore, the correct answer is z < 1.

Tags

CCSS.7.EE.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation for W: $P=2w+2L$

$W=\frac{2L-P}{2}$

$W=\frac{P-2L}{2}$

$W=\frac{P+L}{2}$

$W=\frac{P-L}{2}$

Answer explanation

To solve for W, isolate it in the equation. Start by subtracting 2L from both sides to get P-2L=2W. Then divide by 2 to get W=(P-2L)/2.

Tags

CCSS.HSA.CED.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation $5m-4=-20-3m$

m = -2

m = -10

m = 5

m = 0

Answer explanation

To solve the equation, combine like terms: 5m + 3m = -20 + 4. This simplifies to 8m = -16. Dividing by 8 gives m = -2, which is the correct answer.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inquality $\frac{2}{3}\left(y-3\right)<-18$

$y<24$

$y>24$

$y<-24$

$y>-24$

Answer explanation

To solve the inequality, first multiply both sides by 3 to get 2(y-3) < -54. Then distribute to get 2y - 6 < -54. Add 6 to both sides to get 2y < -48. Finally, divide by 2 to get y < -24, which is the correct choice.

Tags

CCSS.7.EE.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the inequality $5-4x\ge29$

$x\le6$

$x\ge6$

$x\le-6$

$x\ge-6$

Answer explanation

To solve the inequality 5-4x ≥ 29, first subtract 5 from both sides to get -4x ≥ 24. Then, divide by -4 to find x ≤ -6.

Tags

CCSS.7.EE.B.4B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation for $b_1$ : $A=\frac{h}{2}\left(b_1+b_2\right)$

$b_1=\frac{2A-b_2}{2}$

$b_1=\frac{2A}{h}-b_2$

$b_1=\frac{A}{h}-b_2$

$b_1=2A-\frac{b_2}{h}$

Answer explanation

To solve for b1, isolate it on one side of the equation. Start by multiplying both sides by 2 to get rid of the fraction: 2A = h(b1 + b2). Then, subtract b2 and divide by h to solve for b1: b1 = (2A - b2) / h.

Tags

CCSS.HSA.CED.A.4

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Darren has a collection of b books worth $10 each and m maganizes worth $5 each. If $A=10b+5m$ , what does A represent?

The number of books in Darren's collection

The number of magazines in Darren's collection

The total value of Darren's collection

The total weight of Darren's collection

Answer explanation

A represents the total value of Darren's collection calculated by multiplying the number of books by $10 each and the number of magazines by $5 each.

Tags

CCSS.HSA-SSE.A.1A

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Day 9 Equations and Inequalities Review

Solve the equation 3x−4=113x-4=113x−4=11

To solve the equation 3x - 4 = 11, first add 4 to both sides to get 3x = 15. Then divide by 3 to find x = 5. Therefore, the correct answer is x = 5.

Simplify the expression 6(3x+5)2\frac{6\left(3x+5\right)}{2}26(3x+5)​

To simplify the expression, distribute 6 to both terms inside the parentheses: 6*3x + 6*5 = 18x + 30. Then divide by 2 to get 9x + 15.

Solve the equation 34(x−2)=15\frac{3}{4}\left(x-2\right)=1543​(x−2)=15

To solve the equation, first distribute the 3/4 to get 3/4x - 3/2 = 15. Then, add 3/2 to both sides to isolate x, giving x = 22. Therefore, the correct answer is x = 22.

Solve the inequality 11z−43<−3211z-43<-3211z−43<−32

To solve the inequality 11z - 43 < -32, add 43 to both sides to get 11z < 11. Then, divide by 11 to find z < 1. Therefore, the correct answer is z < 1.

Solve the equation for W: P=2w+2LP=2w+2LP=2w+2L

To solve for W, isolate it in the equation. Start by subtracting 2L from both sides to get P-2L=2W. Then divide by 2 to get W=(P-2L)/2.

Solve the equation 5m−4=−20−3m5m-4=-20-3m5m−4=−20−3m

To solve the equation, combine like terms: 5m + 3m = -20 + 4. This simplifies to 8m = -16. Dividing by 8 gives m = -2, which is the correct answer.

Solve the inquality 23(y−3)<−18\frac{2}{3}\left(y-3\right)<-1832​(y−3)<−18

To solve the inequality, first multiply both sides by 3 to get 2(y-3) < -54. Then distribute to get 2y - 6 < -54. Add 6 to both sides to get 2y < -48. Finally, divide by 2 to get y < -24, which is the correct choice.

Solve the inequality 5−4x≥295-4x\ge295−4x≥29

To solve the inequality 5-4x ≥ 29, first subtract 5 from both sides to get -4x ≥ 24. Then, divide by -4 to find x ≤ -6.

Solve the equation for b1b_1b1​ : A=h2(b1+b2)A=\frac{h}{2}\left(b_1+b_2\right)A=2h​(b1​+b2​)

To solve for b1, isolate it on one side of the equation. Start by multiplying both sides by 2 to get rid of the fraction: 2A = h(b1 + b2). Then, subtract b2 and divide by h to solve for b1: b1 = (2A - b2) / h.

Darren has a collection of b books worth $10 each and m maganizes worth $5 each. If A=10b+5mA=10b+5mA=10b+5m , what does A represent?

A represents the total value of Darren's collection calculated by multiplying the number of books by $10 each and the number of magazines by $5 each.

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Discover more resources for Mathematics

Solve the equation $3x-4=11$

Simplify the expression $\frac{6\left(3x+5\right)}{2}$

To simplify the expression, distribute 6 to both terms inside the parentheses: 63x + 65 = 18x + 30. Then divide by 2 to get 9x + 15.

Solve the equation $\frac{3}{4}\left(x-2\right)=15$

Solve the inequality $11z-43<-32$

Solve the equation for W: $P=2w+2L$

Solve the equation $5m-4=-20-3m$

Solve the inquality $\frac{2}{3}\left(y-3\right)<-18$

Solve the inequality $5-4x\ge29$

Solve the equation for $b_1$ : $A=\frac{h}{2}\left(b_1+b_2\right)$

Darren has a collection of b books worth $10 each and m maganizes worth $5 each. If $A=10b+5m$ , what does A represent?