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Akwankyerɛ

This Algebra 2 assessment checks proficiency with simplifying linear expressions (distributing and combining like terms), solving linear equations, and solving systems of linear equations using both elimination and substitution. Problems are written to be consistent in structure and difficulty. You will complete two 10-minute intervals. Time will be shown on the board.

2

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

$(2,5)

$(\frac{10}{3},3)$

$(\frac{10}{3},\frac{7}{2})$

$(\frac{10}{3},\frac{11}{3})$

1

Solve for $x$: $4(x-3)+7=3x+2$

$-17$

$-3$

$5$

$7$

1

Solve for $x$: $-3(2x+5)+4=2(x-7)$

$-11$

$-3$

$1$

$\frac{3}{8}$

1

Solve for $x$: $5(3x-2)-4x=2(4x+1)$

$-\frac{7}{3}$

$-\frac{11}{3}$

$4$

$6$

2

Solve the system by substitution:
y=2x-1\ 3x+y=11

$(2,3)$

$(3,5)$

$(4,7)$

$(5,9)$

1

Solve for $x$: $2(3x-4)+6=4(x+1)-2x$

$-1$

$0$

$2$

$\frac{3}{2}$

1

Solve for $x$: $7-2(5x-3)=3x+1$

$-\frac{1}{13}$

$\frac{1}{13}$

$\frac{12}{13}$

$\frac{13}{12}$

1

Solve for $x$: $3(x+8)-2(2x-1)=5x$

$-\frac{11}{2}$

$-\frac{22}{7}$

$\frac{22}{7}$

$\frac{13}{3}$

1

Solve for $x$: $\frac{1}{2}(8x-6)+5=3x+4$

$-1$

$0$

$1$

$2$

2

Solve the system by elimination:
2x+3y=13\ 4x-3y=5

$(1,3)$

$(2,3)$

1

Solve for $x$: $6(x-2)+5=3x+14$

$1$

$3$

$5$

$7$

1

Solve for $x$: $-2(3x-7)+9=x-5$

$-1$

$1$

$3$

$4$

1

Solve for $x$: $4(2x+1)-3(x-5)=2x+19$

$1$

$2$

$0$

$-2$

1

Solve for $x$: $\frac{3}{2}(2x-4)-1=4x-11$

$1$

$2$

$4$

$6$

2

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

$(2,5)$

$(3,\frac{7}{2})$

$(\frac{10}{3},3)$

1

Solve for $x$: $8(x-5)-3(2x+1)=5x-11$

$-1$

$0$

$1$

$2$

1

Solve for $x$: $3(4x-7)+2(3x+5)=5x-4$

$1$

$2$

$3$

$4$

1

Solve for $x: $5(2x+3)-4(x-6)=3(3x-2)+7$

$1$

$2$

$3$

$4$

1

Solve for $x$: $\frac{1}{3}(9x-6)+4=2x+7$

$-1$

$0$

$1$

$2$

2

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

$(2,5)$

$(\frac{10}{3},3)$

$(\frac{10}{3},\frac{7}{2})$

$(\frac{10}{3},\frac{11}{3})$

1

Solve for $x$: $-4(2x-3)+5=3(x+6)-2x$

$-2$

$-1$

$0$

$1$

1

Solve for $x$: $2(5x-1)-7(x+2)=3(x-4)+9$

$-2$

$-1$

$0$

$1$

2

Solve the system by elimination:
5x+2y=24\ -5x+3y=-1

$(2,7)$

$(3,\frac{9}{2})$

$(5,-3)$

$(4,2)$

Algebra 2 Assessment: Linear Equations & Systems (Distribute/Combine + Mixed Methods)

Algebra 2 Assessment: Linear Equations & Systems (Distribute/Combine + Mixed Methods)

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $4(x-3)+7=3x+2$

Solve for $x$: $-3(2x+5)+4=2(x-7)$

Solve for $x$: $5(3x-2)-4x=2(4x+1)$

Solve the system by substitution: y=2x-1\ 3x+y=11

Solve for $x$: $2(3x-4)+6=4(x+1)-2x$

Solve for $x$: $7-2(5x-3)=3x+1$

Solve for $x$: $3(x+8)-2(2x-1)=5x$

Solve for $x$: $\frac{1}{2}(8x-6)+5=3x+4$

Solve the system by elimination:2x+3y=13\ 4x-3y=5

Solve for $x$: $6(x-2)+5=3x+14$

Solve for $x$: $-2(3x-7)+9=x-5$

Solve for $x$: $4(2x+1)-3(x-5)=2x+19$

Solve for $x$: $\frac{3}{2}(2x-4)-1=4x-11$

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $8(x-5)-3(2x+1)=5x-11$

Solve for $x$: $3(4x-7)+2(3x+5)=5x-4$

Solve for $x: $5(2x+3)-4(x-6)=3(3x-2)+7$

Solve for $x$: $\frac{1}{3}(9x-6)+4=2x+7$

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $-4(2x-3)+5=3(x+6)-2x$

Solve for $x$: $2(5x-1)-7(x+2)=3(x-4)+9$

Solve the system by elimination: 5x+2y=24\ -5x+3y=-1

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $4(x-3)+7=3x+2$

Solve for $x$: $-3(2x+5)+4=2(x-7)$

Solve for $x$: $5(3x-2)-4x=2(4x+1)$

Solve the system by substitution: y=2x-1\ 3x+y=11

Solve for $x$: $2(3x-4)+6=4(x+1)-2x$

Solve for $x$: $7-2(5x-3)=3x+1$

Solve for $x$: $3(x+8)-2(2x-1)=5x$

Solve for $x$: $\frac{1}{2}(8x-6)+5=3x+4$

Solve the system by elimination:2x+3y=13\ 4x-3y=5

Solve for $x$: $6(x-2)+5=3x+14$

Solve for $x$: $-2(3x-7)+9=x-5$

Solve for $x$: $4(2x+1)-3(x-5)=2x+19$

Solve for $x$: $\frac{3}{2}(2x-4)-1=4x-11$

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $8(x-5)-3(2x+1)=5x-11$

Solve for $x$: $3(4x-7)+2(3x+5)=5x-4$

Solve for $x: $5(2x+3)-4(x-6)=3(3x-2)+7$

Solve for $x$: $\frac{1}{3}(9x-6)+4=2x+7$

Solve the system by elimination: 3x+2y=16\ 3x-2y=4

Solve for $x$: $-4(2x-3)+5=3(x+6)-2x$

Solve for $x$: $2(5x-1)-7(x+2)=3(x-4)+9$

Solve the system by elimination: 5x+2y=24\ -5x+3y=-1

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by substitution:
y=2x-1\ 3x+y=11

Solve the system by elimination:
2x+3y=13\ 4x-3y=5

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by elimination:
5x+2y=24\ -5x+3y=-1

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by substitution:
y=2x-1\ 3x+y=11

Solve the system by elimination:
2x+3y=13\ 4x-3y=5

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by elimination:
3x+2y=16\ 3x-2y=4

Solve the system by elimination:
5x+2y=24\ -5x+3y=-1