2.3 worksheet | Mathematics

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2.3 worksheet

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7th - 9th grade

Mathematics

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Slide 1
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2.3 worksheet
Digital Version on 2.3 worksheet - multiply and divide inequalities
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Question 2
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Q.
Solve the inequality:
$3x\le9$
answer choices
$x<9$
$x<3$
$x\le9$
 <math><semantics><mrow><mi>x</mi><mo><</mo><mn>9</mn></mrow><annotation encoding="application/x-tex">x<9</annotation></semantics></math>x<9 
alternatives
 <math><semantics><mrow><mi>x</mi><mo><</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">x<3</annotation></semantics></math>x<3 
 <math><semantics><mrow><mi>x</mi><mo>≤</mo><mn>9</mn></mrow><annotation encoding="application/x-tex">x\le9</annotation></semantics></math>x≤9 
answer explanation
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Question 3
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Q.
Solve the inequality:
$2m<-6$
answer choices
$m<-3$
$m<3$
$m>-3$
 <math><semantics><mrow><mi>m</mi><mo><</mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">m<-3</annotation></semantics></math>m<−3 
alternatives
 <math><semantics><mrow><mi>m</mi><mo><</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">m<3</annotation></semantics></math>m<3 
 <math><semantics><mrow><mi>m</mi><mo>></mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">m>-3</annotation></semantics></math>m>−3 
answer explanation
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Question 4
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Q.
Solve the inequality:
$-18<6t$
answer choices
$t>-3$
$t<-3$
 <math><semantics><mrow><mi>t</mi><mo>></mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">t>-3</annotation></semantics></math>t>−3 
alternatives
 <math><semantics><mrow><mi>t</mi><mo><</mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">t<-3</annotation></semantics></math>t<−3 
answer explanation
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Question 5
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Q.
Solve the inequality:
$40\le8p$
answer choices
$p\le5$
$p\ge5$
 <math><semantics><mrow><mi>p</mi><mo>≤</mo><mn>5</mn></mrow><annotation encoding="application/x-tex">p\le5</annotation></semantics></math>p≤5 
alternatives
 <math><semantics><mrow><mi>p</mi><mo>≥</mo><mn>5</mn></mrow><annotation encoding="application/x-tex">p\ge5</annotation></semantics></math>p≥5 
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Question 6
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Q.
Solve the inequality:
$\frac{b}{-3}\ge-1$
answer choices
$b<-3$
$b\ge1$
$b\ge-3$
 <math><semantics><mrow><mi>b</mi><mo><</mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">b<-3</annotation></semantics></math>b<−3 
alternatives
 <math><semantics><mrow><mi>b</mi><mo>≥</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">b\ge1</annotation></semantics></math>b≥1 
 <math><semantics><mrow><mi>b</mi><mo>≥</mo><mo>−</mo><mn>3</mn></mrow><annotation encoding="application/x-tex">b\ge-3</annotation></semantics></math>b≥−3 
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Question 7
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Q.
Solve the inequality:
$\frac{b}{3}\le8.7$
answer choices
$b<26.1$
$b<26.1$
$b\ge-26.1$
$b\le26.1$
 <math><semantics><mrow><mi>b</mi><mo><</mo><mn>26.1</mn></mrow><annotation encoding="application/x-tex">b<26.1</annotation></semantics></math>b<26.1 
alternatives
 <math><semantics><mrow><mi>b</mi><mo><</mo><mn>26.1</mn></mrow><annotation encoding="application/x-tex">b<26.1</annotation></semantics></math>b<26.1 
 <math><semantics><mrow><mi>b</mi><mo>≥</mo><mo>−</mo><mn>26.1</mn></mrow><annotation encoding="application/x-tex">b\ge-26.1</annotation></semantics></math>b≥−26.1 
 <math><semantics><mrow><mi>b</mi><mo>≤</mo><mn>26.1</mn></mrow><annotation encoding="application/x-tex">b\le26.1</annotation></semantics></math>b≤26.1 
answer explanation
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Question 8
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Q.
Solve the inequality:
$-5j\le10$
answer choices
$j<-2$
$j\ge-2$
$j\le-2$
 <math><semantics><mrow><mi>j</mi><mo><</mo><mo>−</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">j<-2</annotation></semantics></math>j<−2 
alternatives
 <math><semantics><mrow><mi>j</mi><mo>≥</mo><mo>−</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">j\ge-2</annotation></semantics></math>j≥−2 
 <math><semantics><mrow><mi>j</mi><mo>≤</mo><mo>−</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">j\le-2</annotation></semantics></math>j≤−2 
answer explanation
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Question 9
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Q.
Solve the inequality:
$-4t\ge4$
answer choices
$t<-1$
$t\ge-1$
$t\le-1$
 <math><semantics><mrow><mi>t</mi><mo><</mo><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">t<-1</annotation></semantics></math>t<−1 
alternatives
 <math><semantics><mrow><mi>t</mi><mo>≥</mo><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">t\ge-1</annotation></semantics></math>t≥−1 
 <math><semantics><mrow><mi>t</mi><mo>≤</mo><mo>−</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">t\le-1</annotation></semantics></math>t≤−1 
answer explanation
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Question 10
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Q.
Solve the inequality:
$-14>-7y$
answer choices
$y<2$
$y\ge2$
$y\le2$
$y>2$
 <math><semantics><mrow><mi>y</mi><mo><</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">y<2</annotation></semantics></math>y<2 
alternatives
 <math><semantics><mrow><mi>y</mi><mo>≥</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">y\ge2</annotation></semantics></math>y≥2 
 <math><semantics><mrow><mi>y</mi><mo>≤</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">y\le2</annotation></semantics></math>y≤2 
 <math><semantics><mrow><mi>y</mi><mo>></mo><mn>2</mn></mrow><annotation encoding="application/x-tex">y>2</annotation></semantics></math>y>2 
answer explanation
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Question 11
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Q.
Solve the inequality:
$-24>-6a$
answer choices
$a<4$
$a\ge4$
$a\le4$
$a>4$
 <math><semantics><mrow><mi>a</mi><mo><</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">a<4</annotation></semantics></math>a<4 
alternatives
 <math><semantics><mrow><mi>a</mi><mo>≥</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">a\ge4</annotation></semantics></math>a≥4 
 <math><semantics><mrow><mi>a</mi><mo>≤</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">a\le4</annotation></semantics></math>a≤4 
 <math><semantics><mrow><mi>a</mi><mo>></mo><mn>4</mn></mrow><annotation encoding="application/x-tex">a>4</annotation></semantics></math>a>4 
answer explanation
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Question 12
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Q.
Solve the inequality:
$\frac{k}{-2}>2$
answer choices
$k<-4$
$k\ge-4$
$k\le-4$
$k>-4$
 <math><semantics><mrow><mi>k</mi><mo><</mo><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">k<-4</annotation></semantics></math>k<−4 
alternatives
 <math><semantics><mrow><mi>k</mi><mo>≥</mo><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">k\ge-4</annotation></semantics></math>k≥−4 
 <math><semantics><mrow><mi>k</mi><mo>≤</mo><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">k\le-4</annotation></semantics></math>k≤−4 
 <math><semantics><mrow><mi>k</mi><mo>></mo><mo>−</mo><mn>4</mn></mrow><annotation encoding="application/x-tex">k>-4</annotation></semantics></math>k>−4 
answer explanation
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Question 13
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Q.
Solve the inequality:
$\frac{h}{-1}<7$
answer choices
$h<-7$
$h\ge-7$
$h\le-7$
$h>-7$
 <math><semantics><mrow><mi>h</mi><mo><</mo><mo>−</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">h<-7</annotation></semantics></math>h<−7 
alternatives
 <math><semantics><mrow><mi>h</mi><mo>≥</mo><mo>−</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">h\ge-7</annotation></semantics></math>h≥−7 
 <math><semantics><mrow><mi>h</mi><mo>≤</mo><mo>−</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">h\le-7</annotation></semantics></math>h≤−7 
 <math><semantics><mrow><mi>h</mi><mo>></mo><mo>−</mo><mn>7</mn></mrow><annotation encoding="application/x-tex">h>-7</annotation></semantics></math>h>−7 
answer explanation
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Question 14
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Q.
You have $25 to buy 6 fishing lures. Write and solve an inequality that represents the prices you can pay per fishing lure.
answer choices
$x\le4.17$
$x\ge4.17$
$6x\le25$
$6x<25$
 <math><semantics><mrow><mi>x</mi><mo>≤</mo><mn>4.17</mn></mrow><annotation encoding="application/x-tex">x\le4.17</annotation></semantics></math>x≤4.17 
alternatives
 <math><semantics><mrow><mi>x</mi><mo>≥</mo><mn>4.17</mn></mrow><annotation encoding="application/x-tex">x\ge4.17</annotation></semantics></math>x≥4.17 
 <math><semantics><mrow><mn>6</mn><mi>x</mi><mo>≤</mo><mn>25</mn></mrow><annotation encoding="application/x-tex">6x\le25</annotation></semantics></math>6x≤25 
 <math><semantics><mrow><mn>6</mn><mi>x</mi><mo><</mo><mn>25</mn></mrow><annotation encoding="application/x-tex">6x<25</annotation></semantics></math>6x<25 
answer explanation
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